TSTP Solution File: ALG145+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG145+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 : n014.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 16:37:32 EDT 2023
% Result : Unsatisfiable 25.63s 4.19s
% Output : Proof 186.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG145+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 04:43:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.63 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.04/1.47 Prover 4: Preprocessing ...
% 5.04/1.47 Prover 1: Preprocessing ...
% 5.61/1.51 Prover 0: Preprocessing ...
% 5.61/1.51 Prover 3: Preprocessing ...
% 5.61/1.51 Prover 6: Preprocessing ...
% 5.61/1.51 Prover 2: Preprocessing ...
% 5.61/1.51 Prover 5: Preprocessing ...
% 8.82/1.97 Prover 2: Constructing countermodel ...
% 8.82/1.97 Prover 3: Constructing countermodel ...
% 8.82/1.98 Prover 0: Constructing countermodel ...
% 8.82/1.98 Prover 6: Constructing countermodel ...
% 8.82/1.98 Prover 4: Constructing countermodel ...
% 8.82/1.99 Prover 1: Constructing countermodel ...
% 11.40/2.29 Prover 5: Constructing countermodel ...
% 25.63/4.18 Prover 6: proved (3541ms)
% 25.63/4.18
% 25.63/4.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.63/4.19
% 25.63/4.19 Prover 3: stopped
% 25.63/4.19 Prover 5: stopped
% 25.63/4.19 Prover 2: stopped
% 25.63/4.19 Prover 0: stopped
% 25.63/4.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 25.63/4.19 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 25.63/4.19 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 25.63/4.19 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 25.63/4.19 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.52/4.46 Prover 10: Preprocessing ...
% 27.52/4.46 Prover 8: Preprocessing ...
% 28.09/4.53 Prover 11: Preprocessing ...
% 28.09/4.55 Prover 7: Preprocessing ...
% 28.09/4.57 Prover 13: Preprocessing ...
% 28.67/4.65 Prover 8: Constructing countermodel ...
% 29.62/4.73 Prover 7: Constructing countermodel ...
% 29.62/4.73 Prover 10: Constructing countermodel ...
% 29.62/4.76 Prover 11: Constructing countermodel ...
% 29.62/4.78 Prover 13: Constructing countermodel ...
% 66.54/9.56 Prover 13: stopped
% 67.18/9.58 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 67.91/9.73 Prover 16: Preprocessing ...
% 69.27/9.90 Prover 16: Constructing countermodel ...
% 111.58/15.42 Prover 16: stopped
% 111.58/15.42 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 112.55/15.53 Prover 19: Preprocessing ...
% 112.84/15.62 Prover 19: Constructing countermodel ...
% 115.92/15.99 Prover 1: stopped
% 138.48/19.18 Prover 19: stopped
% 169.48/24.57 Prover 10: Found proof (size 838108)
% 169.48/24.57 Prover 10: proved (20378ms)
% 169.48/24.57 Prover 7: stopped
% 169.48/24.57 Prover 11: stopped
% 169.48/24.57 Prover 4: stopped
% 169.48/24.57 Prover 8: stopped
% 169.48/24.57
% 169.48/24.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 169.48/24.57
% 171.92/25.29 % SZS output start Proof for theBenchmark
% 172.09/25.44 Assumptions after simplification:
% 172.09/25.44 ---------------------------------
% 172.09/25.44
% 172.09/25.44 (ax1)
% 172.09/25.49 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.49 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 172.09/25.49 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 172.09/25.49 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 172.09/25.49 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 172.09/25.49 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 172.09/25.49 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 172.09/25.49 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 172.09/25.49 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 172.09/25.49 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 172.09/25.49 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 172.09/25.49 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 172.09/25.49 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 172.09/25.49 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 172.09/25.49 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 172.09/25.49 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 172.09/25.49 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 172.09/25.49 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 172.09/25.49 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 172.09/25.49
% 172.09/25.49 (ax10)
% 172.09/25.50 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.50 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 &
% 172.09/25.50 $i(v2)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 172.09/25.50
% 172.09/25.50 (ax11)
% 172.09/25.50 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.50 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 &
% 172.09/25.50 $i(v2)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 172.09/25.50
% 172.09/25.50 (ax12)
% 172.09/25.50 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.50 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 &
% 172.09/25.50 $i(v2)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 172.09/25.50
% 172.09/25.50 (ax13)
% 172.09/25.51 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.51 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 &
% 172.09/25.51 $i(v2)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 172.09/25.51
% 172.09/25.51 (ax14)
% 172.09/25.51 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.51 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 &
% 172.09/25.51 $i(v2)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 172.09/25.51
% 172.09/25.51 (ax15)
% 172.09/25.51 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.51 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 &
% 172.09/25.51 $i(v2)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 172.09/25.51
% 172.09/25.51 (ax16)
% 172.09/25.51 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.51 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 &
% 172.09/25.51 $i(v2)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 172.09/25.51
% 172.09/25.51 (ax17)
% 172.09/25.51 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.51 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 &
% 172.09/25.51 $i(v2)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 172.09/25.51
% 172.09/25.51 (ax18)
% 172.09/25.52 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.52 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 &
% 172.09/25.52 $i(v2)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 172.09/25.52
% 172.09/25.52 (ax19)
% 172.09/25.52 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.52 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 &
% 172.09/25.52 $i(v2)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 172.09/25.52
% 172.09/25.52 (ax2)
% 172.09/25.56 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.56 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 172.09/25.56 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 172.09/25.56 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 172.09/25.56 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 172.09/25.56 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 172.09/25.56 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 172.09/25.56 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 172.09/25.56 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 172.09/25.56 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 172.09/25.56 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 172.09/25.56 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 172.09/25.56 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 172.09/25.56 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 172.09/25.56 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 172.09/25.56 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 172.09/25.56 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 172.09/25.56 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 172.09/25.56 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 172.09/25.56 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 172.09/25.56 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 172.09/25.56 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 172.09/25.56 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 172.09/25.56 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 172.09/25.56 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 172.09/25.56 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 172.09/25.56 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 172.09/25.56 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 172.09/25.56 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 172.09/25.56 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 172.09/25.56 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 172.09/25.56 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 172.09/25.56 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 172.09/25.56 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 172.09/25.56 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 172.09/25.56 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 172.09/25.56 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 172.09/25.56 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 172.09/25.56 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 172.09/25.56 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 172.09/25.56 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 172.09/25.56 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 172.09/25.56 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 172.09/25.56 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 172.09/25.56 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 172.09/25.56 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 172.09/25.56 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 172.09/25.56 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 172.09/25.56 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 172.09/25.56 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 172.09/25.56 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 172.09/25.56 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 172.09/25.56 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 172.09/25.56 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 172.09/25.56 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 172.09/25.56 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 172.09/25.56 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 172.09/25.56 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 172.09/25.56 (v1 = e0 & op(e0, e1) = e0)))))
% 172.09/25.56
% 172.09/25.56 (ax20)
% 172.09/25.56 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.56 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 &
% 172.09/25.56 $i(v2)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 172.09/25.56
% 172.09/25.56 (ax21)
% 172.09/25.57 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.57 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 &
% 172.09/25.57 $i(v2)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 172.09/25.57
% 172.09/25.57 (ax22)
% 172.09/25.57 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.57 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 &
% 172.09/25.57 $i(v2)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 172.09/25.57
% 172.09/25.57 (ax23)
% 172.09/25.57 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.57 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 &
% 172.09/25.57 $i(v2)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 172.09/25.57
% 172.09/25.57 (ax24)
% 172.09/25.57 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.57 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 &
% 172.09/25.57 $i(v2)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 172.09/25.57
% 172.09/25.57 (ax25)
% 172.09/25.57 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.57 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 &
% 172.09/25.57 $i(v2)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 172.09/25.57
% 172.09/25.57 (ax26)
% 172.09/25.58 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.58 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 &
% 172.09/25.58 $i(v2)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 172.09/25.58
% 172.09/25.58 (ax27)
% 172.09/25.58 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.58 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 &
% 172.09/25.58 $i(v2)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 172.09/25.58
% 172.09/25.58 (ax28)
% 172.09/25.58 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.58 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 &
% 172.09/25.58 $i(v2)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 172.09/25.58
% 172.09/25.58 (ax29)
% 172.09/25.58 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.58 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 &
% 172.09/25.58 $i(v2)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 172.09/25.58
% 172.09/25.58 (ax3)
% 172.09/25.59 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.09/25.59 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 172.09/25.59 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 172.09/25.59 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 172.09/25.59 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 172.09/25.59 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 172.09/25.59 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 172.09/25.59 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 172.09/25.59 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 172.09/25.59 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 172.09/25.59 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 172.09/25.59 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 172.09/25.59 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 172.09/25.59 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 172.09/25.59 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 172.09/25.59 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 172.09/25.59 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 172.09/25.59 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 172.09/25.59 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 172.09/25.59 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 172.09/25.59
% 172.09/25.59 (ax4)
% 172.09/25.59 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 172.09/25.59 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 172.09/25.59
% 172.09/25.59 (ax5)
% 172.92/25.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.92/25.62 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 172.92/25.62 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 172.92/25.62 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 172.92/25.62 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 172.92/25.62 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 172.92/25.62 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v30 = v3 & v15 = e3 &
% 172.92/25.62 v12 = e3 & ~ (v31 = e3) & ~ (v29 = e1) & ~ (v28 = e0) & ~ (v3 = e2)
% 172.92/25.62 & op(e3, v14) = v29 & op(e3, v13) = v28 & op(e3, v3) = v31 & op(e3, e3)
% 172.92/25.62 = v3 & op(e3, e2) = e3 & op(e3, e1) = v14 & op(e3, e0) = v13 & op(e2,
% 172.92/25.62 e3) = e3 & $i(v31) & $i(v29) & $i(v28) & $i(v14) & $i(v13) & $i(v3)) |
% 172.92/25.62 (v29 = v3 & v14 = e3 & v9 = e3 & ~ (v31 = e3) & ~ (v30 = e2) & ~ (v28 =
% 172.92/25.62 e0) & ~ (v3 = e1) & op(e3, v15) = v30 & op(e3, v13) = v28 & op(e3,
% 172.92/25.62 v3) = v31 & op(e3, e3) = v3 & op(e3, e2) = v15 & op(e3, e1) = e3 &
% 172.92/25.62 op(e3, e0) = v13 & op(e1, e3) = e3 & $i(v31) & $i(v30) & $i(v28) &
% 172.92/25.62 $i(v15) & $i(v13) & $i(v3)) | (v28 = v3 & v13 = e3 & v6 = e3 & ~ (v31 =
% 172.92/25.62 e3) & ~ (v30 = e2) & ~ (v29 = e1) & ~ (v3 = e0) & op(e3, v15) = v30
% 172.92/25.62 & op(e3, v14) = v29 & op(e3, v3) = v31 & op(e3, e3) = v3 & op(e3, e2) =
% 172.92/25.62 v15 & op(e3, e1) = v14 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(v31) &
% 172.92/25.62 $i(v30) & $i(v29) & $i(v15) & $i(v14) & $i(v3)) | (v27 = v2 & v15 = e2 &
% 172.92/25.62 v12 = e2 & ~ (v26 = e2) & ~ (v25 = e1) & ~ (v24 = e0) & ~ (v2 = e3)
% 172.92/25.62 & op(e3, e2) = e2 & op(e2, v11) = v25 & op(e2, v10) = v24 & op(e2, v2) =
% 172.92/25.62 v26 & op(e2, e3) = e2 & op(e2, e2) = v2 & op(e2, e1) = v11 & op(e2, e0)
% 172.92/25.62 = v10 & $i(v26) & $i(v25) & $i(v24) & $i(v11) & $i(v10) & $i(v2)) | (v25
% 172.92/25.62 = v2 & v11 = e2 & v8 = e2 & ~ (v27 = e3) & ~ (v26 = e2) & ~ (v24 =
% 172.92/25.62 e0) & ~ (v2 = e1) & op(e2, v12) = v27 & op(e2, v10) = v24 & op(e2,
% 172.92/25.62 v2) = v26 & op(e2, e3) = v12 & op(e2, e2) = v2 & op(e2, e1) = e2 &
% 172.92/25.62 op(e2, e0) = v10 & op(e1, e2) = e2 & $i(v27) & $i(v26) & $i(v24) &
% 172.92/25.62 $i(v12) & $i(v10) & $i(v2)) | (v24 = v2 & v10 = e2 & v5 = e2 & ~ (v27 =
% 172.92/25.62 e3) & ~ (v26 = e2) & ~ (v25 = e1) & ~ (v2 = e0) & op(e2, v12) = v27
% 172.92/25.62 & op(e2, v11) = v25 & op(e2, v2) = v26 & op(e2, e3) = v12 & op(e2, e2) =
% 172.92/25.62 v2 & op(e2, e1) = v11 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(v27) &
% 172.92/25.62 $i(v26) & $i(v25) & $i(v12) & $i(v11) & $i(v2)) | (v23 = v1 & v14 = e1 &
% 172.92/25.62 v9 = e1 & ~ (v22 = e2) & ~ (v21 = e1) & ~ (v20 = e0) & ~ (v1 = e3) &
% 172.92/25.62 op(e3, e1) = e1 & op(e1, v8) = v22 & op(e1, v7) = v20 & op(e1, v1) = v21
% 172.92/25.62 & op(e1, e3) = e1 & op(e1, e2) = v8 & op(e1, e1) = v1 & op(e1, e0) = v7
% 172.92/25.62 & $i(v22) & $i(v21) & $i(v20) & $i(v8) & $i(v7) & $i(v1)) | (v22 = v1 &
% 172.92/25.62 v11 = e1 & v8 = e1 & ~ (v23 = e3) & ~ (v21 = e1) & ~ (v20 = e0) & ~
% 172.92/25.62 (v1 = e2) & op(e2, e1) = e1 & op(e1, v9) = v23 & op(e1, v7) = v20 &
% 172.92/25.62 op(e1, v1) = v21 & op(e1, e3) = v9 & op(e1, e2) = e1 & op(e1, e1) = v1 &
% 172.92/25.62 op(e1, e0) = v7 & $i(v23) & $i(v21) & $i(v20) & $i(v9) & $i(v7) &
% 172.92/25.62 $i(v1)) | (op(e0, e1) = v4 & $i(v4) & ((v20 = v1 & v7 = e1 & v4 = e1 &
% 172.92/25.62 ~ (v23 = e3) & ~ (v22 = e2) & ~ (v21 = e1) & ~ (v1 = e0) & op(e1,
% 172.92/25.62 v9) = v23 & op(e1, v8) = v22 & op(e1, v1) = v21 & op(e1, e3) = v9
% 172.92/25.62 & op(e1, e2) = v8 & op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v23) &
% 172.92/25.62 $i(v22) & $i(v21) & $i(v9) & $i(v8) & $i(v1)) | ( ~ (v19 = e3) & ~
% 172.92/25.62 (v18 = e2) & ~ (v17 = e1) & ~ (v16 = e0) & op(e0, v6) = v19 &
% 172.92/25.62 op(e0, v5) = v18 & op(e0, v4) = v17 & op(e0, v0) = v16 & op(e0, e3)
% 172.92/25.62 = v6 & op(e0, e2) = v5 & op(e0, e0) = v0 & $i(v19) & $i(v18) &
% 172.92/25.62 $i(v17) & $i(v16) & $i(v6) & $i(v5) & $i(v0) & (v0 = e0 | (v13 = e0
% 172.92/25.62 & v6 = e0 & op(e3, e0) = e0) | (v10 = e0 & v5 = e0 & op(e2, e0)
% 172.92/25.62 = e0) | (v7 = e0 & v4 = e0 & op(e1, e0) = e0)))))) & ((v3 = e3 &
% 172.92/25.62 op(e3, e3) = e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) =
% 172.92/25.62 e3) | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v12 = e2) & op(e2, e3) = v12 &
% 172.92/25.62 $i(v12))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 & op(e2, e2) = e3) |
% 172.92/25.62 (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v9 = e1)
% 172.92/25.62 & op(e1, e3) = v9 & $i(v9))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 &
% 172.92/25.62 op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) =
% 172.92/25.62 e3) | ( ~ (v6 = e0) & op(e0, e3) = v6 & $i(v6))) & ((v3 = e3 & op(e3,
% 172.92/25.62 e3) = e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3)
% 172.92/25.62 | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v3 = e3) & op(e3, e3) = v3 & $i(v3)))
% 172.92/25.62 & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 172.92/25.62 op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v15 = e3) & op(e3,
% 172.92/25.62 e2) = v15 & $i(v15))) & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 &
% 172.92/25.62 op(e2, e2) = e2) | (v1 = e2 & op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) =
% 172.92/25.62 e2) | ( ~ (v8 = e1) & op(e1, e2) = v8 & $i(v8))) & ((v3 = e2 & op(e3,
% 172.92/25.62 e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 & op(e1, e1) = e2)
% 172.92/25.62 | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v5 = e0) & op(e0, e2) = v5 & $i(v5)))
% 172.92/25.62 & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 172.92/25.62 op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v2 = e2) & op(e2,
% 172.92/25.62 e2) = v2 & $i(v2))) & ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2,
% 172.92/25.62 e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)
% 172.92/25.62 | ( ~ (v14 = e3) & op(e3, e1) = v14 & $i(v14))) & ((v3 = e1 & op(e3, e3) =
% 172.92/25.62 e1) | (v2 = e1 & op(e2, e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 =
% 172.92/25.62 e1 & op(e0, e0) = e1) | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) &
% 172.92/25.62 ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2, e2) = e1) | (v1 = e1 &
% 172.92/25.62 op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1) | ( ~ (v4 = e0) & op(e0,
% 172.92/25.62 e1) = v4 & $i(v4))) & ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2,
% 172.92/25.62 e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)
% 172.92/25.62 | ( ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1))) & ((v3 = e0 & op(e3, e3) =
% 172.92/25.62 e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0) | (v0 =
% 172.92/25.62 e0 & op(e0, e0) = e0) | ( ~ (v13 = e3) & op(e3, e0) = v13 & $i(v13))) &
% 172.92/25.62 ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 &
% 172.92/25.62 op(e1, e1) = e0) | (v0 = e0 & op(e0, e0) = e0) | ( ~ (v10 = e2) & op(e2,
% 172.92/25.62 e0) = v10 & $i(v10))) & ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 &
% 172.92/25.62 op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0) | (v0 = e0 & op(e0, e0) =
% 172.92/25.62 e0) | ( ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7))) & ((v3 = e0 & op(e3,
% 172.92/25.62 e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0)
% 172.92/25.62 | (op(e0, e0) = v0 & $i(v0))))
% 172.92/25.62
% 172.92/25.62 (ax6)
% 172.92/25.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.92/25.62 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 &
% 172.92/25.62 $i(v2)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 172.92/25.62
% 172.92/25.62 (ax7)
% 172.92/25.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.92/25.62 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 &
% 172.92/25.62 $i(v2)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 172.92/25.62
% 172.92/25.62 (ax8)
% 172.92/25.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.92/25.62 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 &
% 172.92/25.62 $i(v2)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 172.92/25.62
% 172.92/25.62 (ax9)
% 172.92/25.62 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 172.92/25.62 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 &
% 172.92/25.62 $i(v2)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 172.92/25.62
% 172.92/25.62 (function-axioms)
% 172.92/25.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 172.92/25.62 v2) = v1) | ~ (op(v3, v2) = v0))
% 172.92/25.62
% 172.92/25.62 Those formulas are unsatisfiable:
% 172.92/25.62 ---------------------------------
% 172.92/25.62
% 172.92/25.62 Begin of proof
% 172.92/25.63 |
% 172.92/25.63 | ALPHA: (ax1) implies:
% 173.02/25.63 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 173.02/25.63 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 173.02/25.63 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 173.02/25.63 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 173.02/25.63 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 173.02/25.63 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 173.02/25.63 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 173.02/25.63 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 173.02/25.63 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 173.02/25.63 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 173.02/25.63 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 173.02/25.63 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 173.02/25.63 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 173.02/25.63 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 173.02/25.63 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 173.02/25.63 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 173.02/25.63 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 173.02/25.63 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 173.02/25.63 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 173.02/25.63 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 173.02/25.63 | = e0))
% 173.02/25.63 |
% 173.02/25.63 | ALPHA: (ax2) implies:
% 173.02/25.65 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 173.02/25.65 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 173.02/25.65 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 173.02/25.65 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 173.02/25.65 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 173.02/25.65 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 173.02/25.65 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 173.02/25.65 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 173.02/25.65 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 173.02/25.65 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 173.02/25.65 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 173.02/25.65 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 173.02/25.65 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 173.02/25.65 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 173.02/25.65 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 173.02/25.65 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 173.02/25.65 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 173.02/25.65 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 173.02/25.65 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 173.02/25.65 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 173.02/25.65 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 173.02/25.65 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 173.02/25.65 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 173.02/25.65 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 173.02/25.65 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 173.02/25.65 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 173.02/25.65 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 173.02/25.65 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 173.02/25.65 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 173.02/25.65 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 173.02/25.65 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 173.02/25.65 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 173.02/25.65 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 173.02/25.65 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 173.02/25.65 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 173.02/25.65 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 173.02/25.65 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 173.02/25.65 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 173.02/25.65 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 173.02/25.65 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 173.02/25.65 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 173.02/25.65 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 173.02/25.65 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 173.02/25.65 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 173.02/25.65 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 173.02/25.65 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 173.02/25.65 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 173.02/25.65 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 173.02/25.65 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 173.02/25.65 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 173.02/25.65 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 173.02/25.65 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 173.02/25.65 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 173.02/25.65 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 173.02/25.65 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 173.02/25.65 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 173.02/25.65 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 173.02/25.65 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 173.02/25.65 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 173.02/25.65 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 173.02/25.65 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 173.02/25.65 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 173.02/25.65 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 173.02/25.65 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 173.02/25.65 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 173.02/25.65 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 173.02/25.65 | op(e0, e1) = e0)))))
% 173.02/25.65 |
% 173.02/25.65 | ALPHA: (ax3) implies:
% 173.02/25.66 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 173.02/25.66 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 173.02/25.66 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 173.02/25.66 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 173.02/25.66 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 173.02/25.66 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 173.02/25.66 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 173.02/25.66 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 173.02/25.66 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 173.02/25.66 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 173.02/25.66 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 173.02/25.66 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 173.02/25.66 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 173.02/25.66 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 173.02/25.66 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 173.02/25.66 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 173.02/25.66 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 173.02/25.66 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 173.02/25.66 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 173.02/25.66 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 173.02/25.66 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 173.02/25.66 |
% 173.02/25.66 | ALPHA: (ax4) implies:
% 173.02/25.66 | (4) ~ (e1 = e0)
% 173.02/25.66 | (5) ~ (e2 = e0)
% 173.02/25.66 | (6) ~ (e2 = e1)
% 173.02/25.66 | (7) ~ (e3 = e0)
% 173.02/25.66 | (8) ~ (e3 = e1)
% 173.02/25.66 | (9) ~ (e3 = e2)
% 173.02/25.66 |
% 173.02/25.66 | ALPHA: (ax5) implies:
% 173.02/25.68 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 173.02/25.68 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 173.02/25.68 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 173.02/25.68 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 173.02/25.68 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 173.02/25.68 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 173.02/25.68 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v30 = v3 & v15
% 173.02/25.68 | = e3 & v12 = e3 & ~ (v31 = e3) & ~ (v29 = e1) & ~ (v28 = e0)
% 173.02/25.68 | & ~ (v3 = e2) & op(e3, v14) = v29 & op(e3, v13) = v28 & op(e3,
% 173.02/25.68 | v3) = v31 & op(e3, e3) = v3 & op(e3, e2) = e3 & op(e3, e1) =
% 173.02/25.68 | v14 & op(e3, e0) = v13 & op(e2, e3) = e3 & $i(v31) & $i(v29) &
% 173.02/25.68 | $i(v28) & $i(v14) & $i(v13) & $i(v3)) | (v29 = v3 & v14 = e3 &
% 173.02/25.68 | v9 = e3 & ~ (v31 = e3) & ~ (v30 = e2) & ~ (v28 = e0) & ~ (v3
% 173.02/25.68 | = e1) & op(e3, v15) = v30 & op(e3, v13) = v28 & op(e3, v3) =
% 173.02/25.68 | v31 & op(e3, e3) = v3 & op(e3, e2) = v15 & op(e3, e1) = e3 &
% 173.02/25.68 | op(e3, e0) = v13 & op(e1, e3) = e3 & $i(v31) & $i(v30) & $i(v28)
% 173.02/25.68 | & $i(v15) & $i(v13) & $i(v3)) | (v28 = v3 & v13 = e3 & v6 = e3 &
% 173.02/25.68 | ~ (v31 = e3) & ~ (v30 = e2) & ~ (v29 = e1) & ~ (v3 = e0) &
% 173.02/25.68 | op(e3, v15) = v30 & op(e3, v14) = v29 & op(e3, v3) = v31 &
% 173.02/25.68 | op(e3, e3) = v3 & op(e3, e2) = v15 & op(e3, e1) = v14 & op(e3,
% 173.02/25.68 | e0) = e3 & op(e0, e3) = e3 & $i(v31) & $i(v30) & $i(v29) &
% 173.02/25.68 | $i(v15) & $i(v14) & $i(v3)) | (v27 = v2 & v15 = e2 & v12 = e2 &
% 173.02/25.68 | ~ (v26 = e2) & ~ (v25 = e1) & ~ (v24 = e0) & ~ (v2 = e3) &
% 173.02/25.68 | op(e3, e2) = e2 & op(e2, v11) = v25 & op(e2, v10) = v24 & op(e2,
% 173.02/25.68 | v2) = v26 & op(e2, e3) = e2 & op(e2, e2) = v2 & op(e2, e1) =
% 173.02/25.68 | v11 & op(e2, e0) = v10 & $i(v26) & $i(v25) & $i(v24) & $i(v11) &
% 173.02/25.68 | $i(v10) & $i(v2)) | (v25 = v2 & v11 = e2 & v8 = e2 & ~ (v27 =
% 173.02/25.68 | e3) & ~ (v26 = e2) & ~ (v24 = e0) & ~ (v2 = e1) & op(e2,
% 173.02/25.68 | v12) = v27 & op(e2, v10) = v24 & op(e2, v2) = v26 & op(e2, e3)
% 173.02/25.68 | = v12 & op(e2, e2) = v2 & op(e2, e1) = e2 & op(e2, e0) = v10 &
% 173.02/25.68 | op(e1, e2) = e2 & $i(v27) & $i(v26) & $i(v24) & $i(v12) &
% 173.02/25.68 | $i(v10) & $i(v2)) | (v24 = v2 & v10 = e2 & v5 = e2 & ~ (v27 =
% 173.02/25.68 | e3) & ~ (v26 = e2) & ~ (v25 = e1) & ~ (v2 = e0) & op(e2,
% 173.02/25.68 | v12) = v27 & op(e2, v11) = v25 & op(e2, v2) = v26 & op(e2, e3)
% 173.02/25.68 | = v12 & op(e2, e2) = v2 & op(e2, e1) = v11 & op(e2, e0) = e2 &
% 173.02/25.68 | op(e0, e2) = e2 & $i(v27) & $i(v26) & $i(v25) & $i(v12) &
% 173.02/25.68 | $i(v11) & $i(v2)) | (v23 = v1 & v14 = e1 & v9 = e1 & ~ (v22 =
% 173.02/25.68 | e2) & ~ (v21 = e1) & ~ (v20 = e0) & ~ (v1 = e3) & op(e3,
% 173.02/25.68 | e1) = e1 & op(e1, v8) = v22 & op(e1, v7) = v20 & op(e1, v1) =
% 173.02/25.68 | v21 & op(e1, e3) = e1 & op(e1, e2) = v8 & op(e1, e1) = v1 &
% 173.02/25.68 | op(e1, e0) = v7 & $i(v22) & $i(v21) & $i(v20) & $i(v8) & $i(v7)
% 173.02/25.68 | & $i(v1)) | (v22 = v1 & v11 = e1 & v8 = e1 & ~ (v23 = e3) & ~
% 173.02/25.68 | (v21 = e1) & ~ (v20 = e0) & ~ (v1 = e2) & op(e2, e1) = e1 &
% 173.02/25.68 | op(e1, v9) = v23 & op(e1, v7) = v20 & op(e1, v1) = v21 & op(e1,
% 173.02/25.68 | e3) = v9 & op(e1, e2) = e1 & op(e1, e1) = v1 & op(e1, e0) = v7
% 173.02/25.68 | & $i(v23) & $i(v21) & $i(v20) & $i(v9) & $i(v7) & $i(v1)) |
% 173.02/25.68 | (op(e0, e1) = v4 & $i(v4) & ((v20 = v1 & v7 = e1 & v4 = e1 & ~
% 173.02/25.68 | (v23 = e3) & ~ (v22 = e2) & ~ (v21 = e1) & ~ (v1 = e0) &
% 173.02/25.68 | op(e1, v9) = v23 & op(e1, v8) = v22 & op(e1, v1) = v21 &
% 173.02/25.68 | op(e1, e3) = v9 & op(e1, e2) = v8 & op(e1, e1) = v1 & op(e1,
% 173.02/25.68 | e0) = e1 & $i(v23) & $i(v22) & $i(v21) & $i(v9) & $i(v8) &
% 173.02/25.68 | $i(v1)) | ( ~ (v19 = e3) & ~ (v18 = e2) & ~ (v17 = e1) &
% 173.02/25.68 | ~ (v16 = e0) & op(e0, v6) = v19 & op(e0, v5) = v18 & op(e0,
% 173.02/25.68 | v4) = v17 & op(e0, v0) = v16 & op(e0, e3) = v6 & op(e0,
% 173.02/25.68 | e2) = v5 & op(e0, e0) = v0 & $i(v19) & $i(v18) & $i(v17) &
% 173.02/25.68 | $i(v16) & $i(v6) & $i(v5) & $i(v0) & (v0 = e0 | (v13 = e0 &
% 173.02/25.68 | v6 = e0 & op(e3, e0) = e0) | (v10 = e0 & v5 = e0 &
% 173.02/25.68 | op(e2, e0) = e0) | (v7 = e0 & v4 = e0 & op(e1, e0) =
% 173.02/25.68 | e0)))))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 &
% 173.02/25.68 | op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 &
% 173.02/25.68 | op(e0, e0) = e3) | ( ~ (v12 = e2) & op(e2, e3) = v12 & $i(v12)))
% 173.02/25.68 | & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 =
% 173.02/25.68 | e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v9 =
% 173.02/25.68 | e1) & op(e1, e3) = v9 & $i(v9))) & ((v3 = e3 & op(e3, e3) =
% 173.02/25.68 | e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3)
% 173.02/25.68 | | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v6 = e0) & op(e0, e3) = v6 &
% 173.02/25.68 | $i(v6))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 & op(e2, e2)
% 173.02/25.68 | = e3) | (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) =
% 173.02/25.68 | e3) | ( ~ (v3 = e3) & op(e3, e3) = v3 & $i(v3))) & ((v3 = e2 &
% 173.02/25.68 | op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 173.02/25.68 | op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v15 = e3)
% 173.02/25.68 | & op(e3, e2) = v15 & $i(v15))) & ((v3 = e2 & op(e3, e3) = e2) |
% 173.02/25.68 | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 & op(e1, e1) = e2) | (v0 =
% 173.02/25.68 | e2 & op(e0, e0) = e2) | ( ~ (v8 = e1) & op(e1, e2) = v8 &
% 173.02/25.68 | $i(v8))) & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 & op(e2, e2)
% 173.02/25.68 | = e2) | (v1 = e2 & op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) =
% 173.02/25.68 | e2) | ( ~ (v5 = e0) & op(e0, e2) = v5 & $i(v5))) & ((v3 = e2 &
% 173.02/25.68 | op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 173.02/25.68 | op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v2 = e2) &
% 173.02/25.68 | op(e2, e2) = v2 & $i(v2))) & ((v3 = e1 & op(e3, e3) = e1) | (v2
% 173.02/25.68 | = e1 & op(e2, e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1
% 173.02/25.68 | & op(e0, e0) = e1) | ( ~ (v14 = e3) & op(e3, e1) = v14 &
% 173.02/25.68 | $i(v14))) & ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2, e2)
% 173.02/25.68 | = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) =
% 173.02/25.68 | e1) | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) & ((v3 = e1
% 173.02/25.68 | & op(e3, e3) = e1) | (v2 = e1 & op(e2, e2) = e1) | (v1 = e1 &
% 173.02/25.68 | op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1) | ( ~ (v4 = e0) &
% 173.02/25.68 | op(e0, e1) = v4 & $i(v4))) & ((v3 = e1 & op(e3, e3) = e1) | (v2
% 173.02/25.68 | = e1 & op(e2, e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1
% 173.02/25.68 | & op(e0, e0) = e1) | ( ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)))
% 173.02/25.68 | & ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 =
% 173.02/25.68 | e0 & op(e1, e1) = e0) | (v0 = e0 & op(e0, e0) = e0) | ( ~ (v13 =
% 173.02/25.68 | e3) & op(e3, e0) = v13 & $i(v13))) & ((v3 = e0 & op(e3, e3) =
% 173.02/25.68 | e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0)
% 173.02/25.68 | | (v0 = e0 & op(e0, e0) = e0) | ( ~ (v10 = e2) & op(e2, e0) = v10
% 173.02/25.68 | & $i(v10))) & ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2,
% 173.02/25.68 | e2) = e0) | (v1 = e0 & op(e1, e1) = e0) | (v0 = e0 & op(e0,
% 173.02/25.68 | e0) = e0) | ( ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7))) & ((v3
% 173.02/25.68 | = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0
% 173.02/25.68 | & op(e1, e1) = e0) | (op(e0, e0) = v0 & $i(v0))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax6) implies:
% 173.02/25.68 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e0) & op(e3, e2) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax7) implies:
% 173.02/25.68 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e0) & op(e2, e3) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax8) implies:
% 173.02/25.68 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e0) & op(e3, e1) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax9) implies:
% 173.02/25.68 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e0) & op(e1, e3) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax10) implies:
% 173.02/25.68 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e0) & op(e2, e1) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax11) implies:
% 173.02/25.68 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e0) & op(e1, e2) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax12) implies:
% 173.02/25.68 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.68 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68 | = e1) & op(e3, e2) = v1 & $i(v1))))
% 173.02/25.68 |
% 173.02/25.68 | ALPHA: (ax13) implies:
% 173.02/25.69 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e1) & op(e2, e3) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax14) implies:
% 173.02/25.69 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e1) & op(e3, e0) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax15) implies:
% 173.02/25.69 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e1) & op(e0, e3) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax16) implies:
% 173.02/25.69 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e1) & op(e2, e0) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax17) implies:
% 173.02/25.69 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e1) & op(e0, e2) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax18) implies:
% 173.02/25.69 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e2) & op(e3, e1) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax19) implies:
% 173.02/25.69 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e2) & op(e1, e3) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax20) implies:
% 173.02/25.69 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e2) & op(e3, e0) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax21) implies:
% 173.02/25.69 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e2) & op(e0, e3) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax22) implies:
% 173.02/25.69 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e2) & op(e1, e0) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax23) implies:
% 173.02/25.69 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e2) & op(e0, e1) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax24) implies:
% 173.02/25.69 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e3) & op(e2, e1) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax25) implies:
% 173.02/25.69 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e3) & op(e1, e2) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax26) implies:
% 173.02/25.69 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69 | = e3) & op(e2, e0) = v1 & $i(v1))))
% 173.02/25.69 |
% 173.02/25.69 | ALPHA: (ax27) implies:
% 173.02/25.69 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.69 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.70 | = e3) & op(e0, e2) = v1 & $i(v1))))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (ax28) implies:
% 173.02/25.70 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.70 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.70 | = e3) & op(e1, e0) = v1 & $i(v1))))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (ax29) implies:
% 173.02/25.70 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.70 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.70 | = e3) & op(e0, e1) = v1 & $i(v1))))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 173.02/25.70 | (35) op(e3, e3) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e0) | ( ~ (all_4_0
% 173.02/25.70 | = e2) & op(e0, e0) = all_4_0 & $i(all_4_0)) | ( ~ (all_4_1 = e1)
% 173.02/25.70 | & op(e0, e3) = all_4_1 & $i(all_4_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (35) implies:
% 173.02/25.70 | (36) op(e3, e3) = all_4_2
% 173.02/25.70 | (37) ~ (all_4_2 = e0) | ( ~ (all_4_0 = e2) & op(e0, e0) = all_4_0 &
% 173.02/25.70 | $i(all_4_0)) | ( ~ (all_4_1 = e1) & op(e0, e3) = all_4_1 &
% 173.02/25.70 | $i(all_4_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 173.02/25.70 | (38) op(e0, e0) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e1) | ( ~ (all_6_0
% 173.02/25.70 | = e3) & op(e1, e1) = all_6_0 & $i(all_6_0)) | ( ~ (all_6_1 = e2)
% 173.02/25.70 | & op(e1, e0) = all_6_1 & $i(all_6_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (38) implies:
% 173.02/25.70 | (39) op(e0, e0) = all_6_2
% 173.02/25.70 | (40) ~ (all_6_2 = e1) | ( ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 &
% 173.02/25.70 | $i(all_6_0)) | ( ~ (all_6_1 = e2) & op(e1, e0) = all_6_1 &
% 173.02/25.70 | $i(all_6_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 173.02/25.70 | (41) op(e0, e0) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e2) | ( ~ (all_8_0
% 173.02/25.70 | = e3) & op(e2, e2) = all_8_0 & $i(all_8_0)) | ( ~ (all_8_1 = e1)
% 173.02/25.70 | & op(e2, e0) = all_8_1 & $i(all_8_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (41) implies:
% 173.02/25.70 | (42) op(e0, e0) = all_8_2
% 173.02/25.70 | (43) ~ (all_8_2 = e2) | ( ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 &
% 173.02/25.70 | $i(all_8_0)) | ( ~ (all_8_1 = e1) & op(e2, e0) = all_8_1 &
% 173.02/25.70 | $i(all_8_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 173.02/25.70 | gives:
% 173.02/25.70 | (44) op(e2, e2) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e3) | ( ~
% 173.02/25.70 | (all_10_0 = e1) & op(e3, e3) = all_10_0 & $i(all_10_0)) | ( ~
% 173.02/25.70 | (all_10_1 = e0) & op(e3, e2) = all_10_1 & $i(all_10_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (44) implies:
% 173.02/25.70 | (45) op(e2, e2) = all_10_2
% 173.02/25.70 | (46) ~ (all_10_2 = e3) | ( ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 173.02/25.70 | $i(all_10_0)) | ( ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 173.02/25.70 | $i(all_10_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 173.02/25.70 | gives:
% 173.02/25.70 | (47) op(e2, e2) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e0) | ( ~
% 173.02/25.70 | (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 173.02/25.70 | (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (47) implies:
% 173.02/25.70 | (48) op(e2, e2) = all_12_2
% 173.02/25.70 | (49) ~ (all_12_2 = e0) | ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 173.02/25.70 | $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 173.02/25.70 | $i(all_12_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 173.02/25.70 | gives:
% 173.02/25.70 | (50) op(e1, e1) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e2) | ( ~
% 173.02/25.70 | (all_14_0 = e0) & op(e2, e2) = all_14_0 & $i(all_14_0)) | ( ~
% 173.02/25.70 | (all_14_1 = e3) & op(e2, e1) = all_14_1 & $i(all_14_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (50) implies:
% 173.02/25.70 | (51) op(e1, e1) = all_14_2
% 173.02/25.70 | (52) ~ (all_14_2 = e2) | ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 173.02/25.70 | $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 173.02/25.70 | $i(all_14_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 173.02/25.70 | gives:
% 173.02/25.70 | (53) op(e1, e1) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e3) | ( ~
% 173.02/25.70 | (all_16_0 = e0) & op(e3, e3) = all_16_0 & $i(all_16_0)) | ( ~
% 173.02/25.70 | (all_16_1 = e2) & op(e3, e1) = all_16_1 & $i(all_16_1)))
% 173.02/25.70 |
% 173.02/25.70 | ALPHA: (53) implies:
% 173.02/25.70 | (54) op(e1, e1) = all_16_2
% 173.02/25.70 | (55) ~ (all_16_2 = e3) | ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 173.02/25.70 | $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e3, e1) = all_16_1 &
% 173.02/25.70 | $i(all_16_1))
% 173.02/25.70 |
% 173.02/25.70 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 173.02/25.70 | gives:
% 173.02/25.71 | (56) op(e3, e3) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e1) | ( ~
% 173.02/25.71 | (all_18_0 = e0) & op(e1, e1) = all_18_0 & $i(all_18_0)) | ( ~
% 173.02/25.71 | (all_18_1 = e2) & op(e1, e3) = all_18_1 & $i(all_18_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (56) implies:
% 173.02/25.71 | (57) op(e3, e3) = all_18_2
% 173.02/25.71 | (58) ~ (all_18_2 = e1) | ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 173.02/25.71 | $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 173.02/25.71 | $i(all_18_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (59) op(e3, e3) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e0) | ( ~
% 173.02/25.71 | (all_20_0 = e1) & op(e0, e0) = all_20_0 & $i(all_20_0)) | ( ~
% 173.02/25.71 | (all_20_1 = e2) & op(e0, e3) = all_20_1 & $i(all_20_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (59) implies:
% 173.02/25.71 | (60) op(e3, e3) = all_20_2
% 173.02/25.71 | (61) ~ (all_20_2 = e0) | ( ~ (all_20_0 = e1) & op(e0, e0) = all_20_0 &
% 173.02/25.71 | $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e0, e3) = all_20_1 &
% 173.02/25.71 | $i(all_20_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (62) op(e0, e0) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e2) | ( ~
% 173.02/25.71 | (all_22_0 = e1) & op(e2, e2) = all_22_0 & $i(all_22_0)) | ( ~
% 173.02/25.71 | (all_22_1 = e3) & op(e2, e0) = all_22_1 & $i(all_22_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (62) implies:
% 173.02/25.71 | (63) op(e0, e0) = all_22_2
% 173.02/25.71 | (64) ~ (all_22_2 = e2) | ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 173.02/25.71 | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 173.02/25.71 | $i(all_22_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (65) op(e1, e1) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e3) | ( ~
% 173.02/25.71 | (all_24_0 = e2) & op(e3, e3) = all_24_0 & $i(all_24_0)) | ( ~
% 173.02/25.71 | (all_24_1 = e0) & op(e3, e1) = all_24_1 & $i(all_24_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (65) implies:
% 173.02/25.71 | (66) op(e1, e1) = all_24_2
% 173.02/25.71 | (67) ~ (all_24_2 = e3) | ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 173.02/25.71 | $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 173.02/25.71 | $i(all_24_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (68) op(e1, e1) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e0) | ( ~
% 173.02/25.71 | (all_26_0 = e3) & op(e0, e0) = all_26_0 & $i(all_26_0)) | ( ~
% 173.02/25.71 | (all_26_1 = e2) & op(e0, e1) = all_26_1 & $i(all_26_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (68) implies:
% 173.02/25.71 | (69) op(e1, e1) = all_26_2
% 173.02/25.71 | (70) ~ (all_26_2 = e0) | ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 173.02/25.71 | $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 173.02/25.71 | $i(all_26_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (71) op(e2, e2) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e1) | ( ~
% 173.02/25.71 | (all_28_0 = e0) & op(e1, e1) = all_28_0 & $i(all_28_0)) | ( ~
% 173.02/25.71 | (all_28_1 = e3) & op(e1, e2) = all_28_1 & $i(all_28_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (71) implies:
% 173.02/25.71 | (72) op(e2, e2) = all_28_2
% 173.02/25.71 | (73) ~ (all_28_2 = e1) | ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 173.02/25.71 | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 173.02/25.71 | $i(all_28_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (74) op(e3, e3) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e2) | ( ~
% 173.02/25.71 | (all_30_0 = e1) & op(e2, e2) = all_30_0 & $i(all_30_0)) | ( ~
% 173.02/25.71 | (all_30_1 = e0) & op(e2, e3) = all_30_1 & $i(all_30_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (74) implies:
% 173.02/25.71 | (75) op(e3, e3) = all_30_2
% 173.02/25.71 | (76) ~ (all_30_2 = e2) | ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 173.02/25.71 | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 173.02/25.71 | $i(all_30_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (77) op(e0, e0) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e3) | ( ~
% 173.02/25.71 | (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)) | ( ~
% 173.02/25.71 | (all_32_1 = e1) & op(e3, e0) = all_32_1 & $i(all_32_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (77) implies:
% 173.02/25.71 | (78) op(e0, e0) = all_32_2
% 173.02/25.71 | (79) ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 173.02/25.71 | $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 173.02/25.71 | $i(all_32_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (80) op(e2, e2) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e0) | ( ~
% 173.02/25.71 | (all_34_0 = e1) & op(e0, e0) = all_34_0 & $i(all_34_0)) | ( ~
% 173.02/25.71 | (all_34_1 = e3) & op(e0, e2) = all_34_1 & $i(all_34_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (80) implies:
% 173.02/25.71 | (81) op(e2, e2) = all_34_2
% 173.02/25.71 | (82) ~ (all_34_2 = e0) | ( ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 &
% 173.02/25.71 | $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e0, e2) = all_34_1 &
% 173.02/25.71 | $i(all_34_1))
% 173.02/25.71 |
% 173.02/25.71 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 173.02/25.71 | gives:
% 173.02/25.71 | (83) op(e0, e0) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e1) | ( ~
% 173.02/25.71 | (all_36_0 = e2) & op(e1, e1) = all_36_0 & $i(all_36_0)) | ( ~
% 173.02/25.71 | (all_36_1 = e3) & op(e1, e0) = all_36_1 & $i(all_36_1)))
% 173.02/25.71 |
% 173.02/25.71 | ALPHA: (83) implies:
% 173.02/25.71 | (84) op(e0, e0) = all_36_2
% 173.02/25.72 | (85) ~ (all_36_2 = e1) | ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 173.02/25.72 | $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 173.02/25.72 | $i(all_36_1))
% 173.02/25.72 |
% 173.02/25.72 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 173.02/25.72 | gives:
% 173.02/25.72 | (86) op(e0, e0) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e3) | ( ~
% 173.02/25.72 | (all_38_0 = e1) & op(e3, e3) = all_38_0 & $i(all_38_0)) | ( ~
% 173.02/25.72 | (all_38_1 = e2) & op(e3, e0) = all_38_1 & $i(all_38_1)))
% 173.02/25.72 |
% 173.02/25.72 | ALPHA: (86) implies:
% 173.02/25.72 | (87) op(e0, e0) = all_38_2
% 173.43/25.72 | (88) ~ (all_38_2 = e3) | ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 173.43/25.72 | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 173.43/25.72 | $i(all_38_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 173.43/25.72 | gives:
% 173.43/25.72 | (89) op(e3, e3) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | ( ~
% 173.43/25.72 | (all_40_0 = e2) & op(e1, e1) = all_40_0 & $i(all_40_0)) | ( ~
% 173.43/25.72 | (all_40_1 = e0) & op(e1, e3) = all_40_1 & $i(all_40_1)))
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (89) implies:
% 173.43/25.72 | (90) op(e3, e3) = all_40_2
% 173.43/25.72 | (91) ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 173.43/25.72 | $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 173.43/25.72 | $i(all_40_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 173.43/25.72 | gives:
% 173.43/25.72 | (92) op(e1, e1) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e2) | ( ~
% 173.43/25.72 | (all_42_0 = e3) & op(e2, e2) = all_42_0 & $i(all_42_0)) | ( ~
% 173.43/25.72 | (all_42_1 = e0) & op(e2, e1) = all_42_1 & $i(all_42_1)))
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (92) implies:
% 173.43/25.72 | (93) op(e1, e1) = all_42_2
% 173.43/25.72 | (94) ~ (all_42_2 = e2) | ( ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 173.43/25.72 | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e2, e1) = all_42_1 &
% 173.43/25.72 | $i(all_42_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 173.43/25.72 | gives:
% 173.43/25.72 | (95) op(e1, e1) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e0) | ( ~
% 173.43/25.72 | (all_44_0 = e2) & op(e0, e0) = all_44_0 & $i(all_44_0)) | ( ~
% 173.43/25.72 | (all_44_1 = e3) & op(e0, e1) = all_44_1 & $i(all_44_1)))
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (95) implies:
% 173.43/25.72 | (96) op(e1, e1) = all_44_2
% 173.43/25.72 | (97) ~ (all_44_2 = e0) | ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 173.43/25.72 | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 173.43/25.72 | $i(all_44_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 173.43/25.72 | gives:
% 173.43/25.72 | (98) op(e2, e2) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e1) | ( ~
% 173.43/25.72 | (all_46_0 = e3) & op(e1, e1) = all_46_0 & $i(all_46_0)) | ( ~
% 173.43/25.72 | (all_46_1 = e0) & op(e1, e2) = all_46_1 & $i(all_46_1)))
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (98) implies:
% 173.43/25.72 | (99) op(e2, e2) = all_46_2
% 173.43/25.72 | (100) ~ (all_46_2 = e1) | ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 173.43/25.72 | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 173.43/25.72 | $i(all_46_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 173.43/25.72 | gives:
% 173.43/25.72 | (101) op(e3, e3) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e2) | ( ~
% 173.43/25.72 | (all_48_0 = e0) & op(e2, e2) = all_48_0 & $i(all_48_0)) | ( ~
% 173.43/25.72 | (all_48_1 = e1) & op(e2, e3) = all_48_1 & $i(all_48_1)))
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (101) implies:
% 173.43/25.72 | (102) op(e3, e3) = all_48_2
% 173.43/25.72 | (103) ~ (all_48_2 = e2) | ( ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 173.43/25.72 | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e2, e3) = all_48_1 &
% 173.43/25.72 | $i(all_48_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 173.43/25.72 | gives:
% 173.43/25.72 | (104) op(e2, e2) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e3) | ( ~
% 173.43/25.72 | (all_50_0 = e0) & op(e3, e3) = all_50_0 & $i(all_50_0)) | ( ~
% 173.43/25.72 | (all_50_1 = e1) & op(e3, e2) = all_50_1 & $i(all_50_1)))
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (104) implies:
% 173.43/25.72 | (105) op(e2, e2) = all_50_2
% 173.43/25.72 | (106) ~ (all_50_2 = e3) | ( ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 173.43/25.72 | $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e3, e2) = all_50_1 &
% 173.43/25.72 | $i(all_50_1))
% 173.43/25.72 |
% 173.43/25.72 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 173.43/25.72 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 173.43/25.72 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 173.43/25.72 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 173.43/25.72 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 173.43/25.72 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 173.43/25.72 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 173.43/25.72 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 173.43/25.72 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 173.43/25.72 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 173.43/25.72 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 173.43/25.72 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 173.43/25.72 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 173.43/25.72 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 173.43/25.72 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 173.43/25.72 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 173.43/25.72 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 173.43/25.72 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 173.43/25.72 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 173.43/25.72 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 173.43/25.72 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 173.43/25.72 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 173.43/25.72 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 173.43/25.72 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 173.43/25.72 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 173.43/25.72 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 173.43/25.72 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 173.43/25.72 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 173.43/25.72 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 173.43/25.72 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 173.43/25.72 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 173.43/25.72 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 173.43/25.72 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 173.43/25.72 |
% 173.43/25.72 | ALPHA: (107) implies:
% 173.43/25.73 | (108) ~ (all_52_14 = all_52_15)
% 173.43/25.73 | (109) ~ (all_52_13 = all_52_15)
% 173.43/25.73 | (110) ~ (all_52_13 = all_52_14)
% 173.43/25.73 | (111) ~ (all_52_12 = all_52_15)
% 173.43/25.73 | (112) ~ (all_52_12 = all_52_14)
% 173.43/25.73 | (113) ~ (all_52_12 = all_52_13)
% 173.43/25.73 | (114) ~ (all_52_11 = all_52_15)
% 173.43/25.73 | (115) ~ (all_52_10 = all_52_14)
% 173.43/25.73 | (116) ~ (all_52_10 = all_52_11)
% 173.43/25.73 | (117) ~ (all_52_9 = all_52_13)
% 173.43/25.73 | (118) ~ (all_52_9 = all_52_11)
% 173.43/25.73 | (119) ~ (all_52_9 = all_52_10)
% 173.43/25.73 | (120) ~ (all_52_8 = all_52_12)
% 173.43/25.73 | (121) ~ (all_52_8 = all_52_11)
% 173.43/25.73 | (122) ~ (all_52_8 = all_52_10)
% 173.43/25.73 | (123) ~ (all_52_8 = all_52_9)
% 173.43/25.73 | (124) ~ (all_52_7 = all_52_15)
% 173.43/25.73 | (125) ~ (all_52_7 = all_52_11)
% 173.43/25.73 | (126) ~ (all_52_6 = all_52_14)
% 173.43/25.73 | (127) ~ (all_52_6 = all_52_10)
% 173.43/25.73 | (128) ~ (all_52_6 = all_52_7)
% 173.43/25.73 | (129) ~ (all_52_5 = all_52_13)
% 173.43/25.73 | (130) ~ (all_52_5 = all_52_9)
% 173.43/25.73 | (131) ~ (all_52_5 = all_52_7)
% 173.43/25.73 | (132) ~ (all_52_5 = all_52_6)
% 173.43/25.73 | (133) ~ (all_52_4 = all_52_12)
% 173.43/25.73 | (134) ~ (all_52_4 = all_52_8)
% 173.43/25.73 | (135) ~ (all_52_4 = all_52_7)
% 173.43/25.73 | (136) ~ (all_52_4 = all_52_6)
% 173.43/25.73 | (137) ~ (all_52_4 = all_52_5)
% 173.43/25.73 | (138) ~ (all_52_3 = all_52_15)
% 173.43/25.73 | (139) ~ (all_52_3 = all_52_11)
% 173.43/25.73 | (140) ~ (all_52_3 = all_52_7)
% 173.43/25.73 | (141) ~ (all_52_2 = all_52_14)
% 173.43/25.73 | (142) ~ (all_52_2 = all_52_10)
% 173.43/25.73 | (143) ~ (all_52_2 = all_52_6)
% 173.43/25.73 | (144) ~ (all_52_2 = all_52_3)
% 173.43/25.73 | (145) ~ (all_52_1 = all_52_13)
% 173.43/25.73 | (146) ~ (all_52_1 = all_52_9)
% 173.43/25.73 | (147) ~ (all_52_1 = all_52_5)
% 173.43/25.73 | (148) ~ (all_52_1 = all_52_3)
% 173.43/25.73 | (149) ~ (all_52_1 = all_52_2)
% 173.43/25.73 | (150) ~ (all_52_0 = all_52_12)
% 173.43/25.73 | (151) ~ (all_52_0 = all_52_8)
% 173.43/25.73 | (152) ~ (all_52_0 = all_52_4)
% 173.43/25.73 | (153) ~ (all_52_0 = all_52_3)
% 173.43/25.73 | (154) ~ (all_52_0 = all_52_2)
% 173.43/25.73 | (155) ~ (all_52_0 = all_52_1)
% 173.43/25.73 | (156) op(e0, e0) = all_52_15
% 173.43/25.73 | (157) op(e0, e1) = all_52_11
% 173.43/25.73 | (158) op(e0, e2) = all_52_7
% 173.43/25.73 | (159) op(e0, e3) = all_52_3
% 173.43/25.73 | (160) op(e1, e0) = all_52_14
% 173.43/25.73 | (161) op(e1, e1) = all_52_10
% 173.43/25.73 | (162) op(e1, e2) = all_52_6
% 173.43/25.73 | (163) op(e1, e3) = all_52_2
% 173.43/25.73 | (164) op(e2, e0) = all_52_13
% 173.43/25.73 | (165) op(e2, e1) = all_52_9
% 173.43/25.73 | (166) op(e2, e2) = all_52_5
% 173.43/25.73 | (167) op(e2, e3) = all_52_1
% 173.43/25.73 | (168) op(e3, e0) = all_52_12
% 173.43/25.73 | (169) op(e3, e1) = all_52_8
% 173.43/25.73 | (170) op(e3, e2) = all_52_4
% 173.43/25.73 | (171) op(e3, e3) = all_52_0
% 173.43/25.73 |
% 173.43/25.73 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 173.43/25.73 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 173.43/25.73 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 173.43/25.73 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 173.43/25.73 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 173.43/25.73 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 173.43/25.73 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 173.43/25.73 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 173.43/25.73 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 173.43/25.73 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 173.43/25.73 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 173.43/25.73 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 173.43/25.73 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 173.43/25.73 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 173.43/25.73 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 173.43/25.73 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 173.43/25.73 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 173.43/25.73 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 173.43/25.73 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 173.43/25.73 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 173.43/25.73 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 173.43/25.73 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 173.43/25.73 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 173.43/25.73 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 173.43/25.73 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 173.43/25.73 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 173.43/25.73 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 173.43/25.73 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 173.43/25.73 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 173.43/25.73 |
% 173.43/25.73 | ALPHA: (172) implies:
% 173.43/25.73 | (173) op(e0, e0) = all_54_15
% 173.43/25.73 | (174) op(e0, e1) = all_54_14
% 173.43/25.73 | (175) op(e0, e2) = all_54_13
% 173.43/25.73 | (176) op(e0, e3) = all_54_12
% 173.43/25.73 | (177) op(e1, e0) = all_54_11
% 173.43/25.73 | (178) op(e1, e1) = all_54_10
% 173.43/25.73 | (179) op(e1, e2) = all_54_9
% 173.43/25.73 | (180) op(e1, e3) = all_54_8
% 173.43/25.73 | (181) op(e2, e0) = all_54_7
% 173.43/25.73 | (182) op(e2, e1) = all_54_6
% 173.43/25.73 | (183) op(e2, e2) = all_54_5
% 173.43/25.73 | (184) op(e2, e3) = all_54_4
% 173.43/25.73 | (185) op(e3, e0) = all_54_3
% 173.43/25.74 | (186) op(e3, e1) = all_54_2
% 173.43/25.74 | (187) op(e3, e2) = all_54_1
% 173.43/25.74 | (188) op(e3, e3) = all_54_0
% 173.43/25.74 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 173.43/25.74 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 173.43/25.74 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 173.43/25.74 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.43/25.74 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 173.43/25.74 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.43/25.74 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.43/25.74 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.43/25.74 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.43/25.74 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.43/25.74 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 173.43/25.74 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.43/25.74 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.43/25.74 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.43/25.74 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.43/25.74 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.43/25.74 |
% 173.43/25.74 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 173.43/25.74 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 173.43/25.74 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 173.43/25.75 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 173.43/25.75 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 173.43/25.75 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 173.43/25.75 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 173.43/25.75 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 173.43/25.75 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 173.43/25.75 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 173.43/25.75 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 173.43/25.75 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 173.43/25.75 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 173.43/25.75 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 173.43/25.75 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 173.43/25.75 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 173.43/25.75 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 173.43/25.75 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 173.43/25.75 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 173.43/25.75 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 173.43/25.75 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 173.43/25.75 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 173.43/25.75 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 173.43/25.75 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 173.43/25.75 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 173.43/25.75 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 173.43/25.75 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 173.43/25.75 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 173.43/25.75 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 173.43/25.75 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 173.43/25.75 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 173.43/25.75 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 173.43/25.75 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 173.43/25.75 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 173.43/25.75 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 173.43/25.75 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 173.43/25.75 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 173.43/25.75 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 173.43/25.75 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 173.43/25.75 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 173.43/25.75 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 173.43/25.75 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 173.43/25.75 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 173.43/25.75 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 173.43/25.75 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 173.43/25.75 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 173.43/25.75 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 173.43/25.75 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 173.43/25.75 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 173.43/25.75 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 173.43/25.75 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 173.43/25.75 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 173.43/25.75 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 173.43/25.75 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 173.43/25.75 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 173.43/25.75 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 173.43/25.75 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 173.43/25.75 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 173.43/25.75 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 173.43/25.75 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 173.43/25.75 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 173.43/25.75 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 173.43/25.75 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 173.43/25.75 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 173.43/25.75 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 173.43/25.75 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 173.43/25.75 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 173.43/25.75 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 173.43/25.75 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 173.43/25.75 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 173.43/25.75 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 173.43/25.75 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 173.43/25.75 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 173.43/25.75 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 173.43/25.75 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 173.43/25.75 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 173.43/25.75 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 173.43/25.75 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 173.43/25.75 |
% 173.43/25.75 | ALPHA: (205) implies:
% 173.43/25.75 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 173.43/25.75 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 173.43/25.75 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 173.43/25.75 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 173.43/25.75 | = e0)))
% 173.43/25.75 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 173.43/25.75 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 173.43/25.75 | e0) = e1)
% 173.43/25.75 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 173.43/25.75 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 173.43/25.75 | e0) = e2)
% 173.43/25.75 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 173.43/25.75 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 173.43/25.75 | e0) = e3)
% 173.43/25.75 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 173.43/25.75 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 173.43/25.75 | e0) = e1)
% 173.43/25.75 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 173.43/25.75 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 173.43/25.75 | e0) = e2)
% 173.43/25.75 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 173.43/25.75 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 173.43/25.75 | e0) = e3)
% 173.43/25.75 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 173.43/25.75 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 173.43/25.75 | e0)
% 173.43/25.75 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 173.43/25.75 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 173.43/25.75 | e1)
% 173.43/25.75 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 173.43/25.75 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 173.43/25.75 | e2)
% 173.43/25.75 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 173.43/25.75 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 173.43/25.75 | e3)
% 173.43/25.75 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 173.43/25.75 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 173.43/25.75 | e0)
% 173.43/25.75 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 173.43/25.75 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 173.43/25.75 | e1)
% 173.43/25.75 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 173.43/25.75 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 173.43/25.75 | e2)
% 173.43/25.75 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 173.43/25.75 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 173.43/25.75 | e3)
% 173.43/25.75 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 173.43/25.75 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 173.43/25.75 | e0)
% 173.43/25.75 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 173.43/25.75 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 173.43/25.75 | e1)
% 173.43/25.75 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 173.43/25.75 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 173.43/25.75 | e2)
% 173.43/25.75 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 173.43/25.75 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 173.43/25.75 | e3)
% 173.43/25.75 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 173.43/25.75 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 173.43/25.75 | e0)
% 173.43/25.75 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 173.43/25.75 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 173.43/25.75 | e1)
% 173.43/25.75 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 173.43/25.75 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 173.43/25.75 | e2)
% 173.43/25.75 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 173.43/25.75 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 173.43/25.75 | e3)
% 173.43/25.76 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 173.43/25.76 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 173.43/25.76 | e0)
% 173.43/25.76 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 173.43/25.76 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 173.43/25.76 | e0)
% 173.43/25.76 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 173.43/25.76 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 173.43/25.76 | e1)
% 173.43/25.76 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 173.43/25.76 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 173.43/25.76 | e1)
% 173.43/25.76 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 173.43/25.76 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 173.43/25.76 | e2)
% 173.43/25.76 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 173.43/25.76 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 173.43/25.76 | e2)
% 173.43/25.76 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 173.43/25.76 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 173.43/25.76 | e3)
% 173.43/25.76 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 173.43/25.76 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 173.43/25.76 | e3)
% 173.43/25.76 |
% 173.43/25.76 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 173.43/25.76 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 173.43/25.76 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15,
% 173.43/25.76 | all_57_16, all_57_17, all_57_18, all_57_19, all_57_20, all_57_21,
% 173.43/25.76 | all_57_22, all_57_23, all_57_24, all_57_25, all_57_26, all_57_27,
% 173.43/25.76 | all_57_28, all_57_29, all_57_30, all_57_31 gives:
% 173.43/25.77 | (237) ((all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 & ~
% 173.43/25.77 | (all_57_0 = e3) & ~ (all_57_2 = e1) & ~ (all_57_3 = e0) & ~
% 173.43/25.77 | (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 173.43/25.77 | all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.43/25.77 | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 173.43/25.77 | op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 173.43/25.77 | $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 173.43/25.77 | $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 173.43/25.77 | all_57_22 = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) & ~
% 173.43/25.77 | (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 173.43/25.77 | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 173.43/25.77 | all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 173.43/25.77 | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 173.43/25.77 | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 173.43/25.77 | $i(all_57_18) & $i(all_57_28)) | (all_57_3 = all_57_28 &
% 173.43/25.77 | all_57_18 = e3 & all_57_25 = e3 & ~ (all_57_0 = e3) & ~
% 173.43/25.77 | (all_57_1 = e2) & ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 173.43/25.77 | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 173.43/25.77 | op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3,
% 173.43/25.77 | e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 173.43/25.77 | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 173.43/25.77 | $i(all_57_16) & $i(all_57_17) & $i(all_57_28)) | (all_57_4 =
% 173.43/25.77 | all_57_29 & all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 = e2)
% 173.43/25.77 | & ~ (all_57_6 = e1) & ~ (all_57_7 = e0) & ~ (all_57_29 = e3) &
% 173.43/25.77 | op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.43/25.77 | all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.43/25.77 | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 173.43/25.77 | op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 173.43/25.77 | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)) |
% 173.43/25.77 | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 & ~
% 173.43/25.77 | (all_57_4 = e3) & ~ (all_57_5 = e2) & ~ (all_57_7 = e0) & ~
% 173.43/25.77 | (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 173.43/25.77 | all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.43/25.77 | e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = e2 &
% 173.43/25.77 | op(e2, e0) = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) &
% 173.43/25.77 | $i(all_57_5) & $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 173.43/25.77 | $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2 &
% 173.43/25.77 | all_57_26 = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) & ~
% 173.43/25.77 | (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 173.43/25.77 | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 173.43/25.77 | all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 173.43/25.77 | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 173.43/25.77 | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 173.43/25.77 | $i(all_57_20) & $i(all_57_29)) | (all_57_8 = all_57_30 &
% 173.43/25.77 | all_57_17 = e1 & all_57_22 = e1 & ~ (all_57_9 = e2) & ~
% 173.43/25.77 | (all_57_10 = e1) & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 173.43/25.77 | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 173.43/25.77 | all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 173.43/25.77 | e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 173.43/25.77 | op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 173.43/25.77 | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) |
% 173.43/25.77 | (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 173.43/25.77 | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~ (all_57_11 = e0) & ~
% 173.43/25.77 | (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 173.43/25.77 | & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 173.43/25.77 | op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 173.43/25.77 | & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 173.43/25.77 | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.43/25.77 | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 173.43/25.77 | all_57_24 = e1 & all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 173.43/25.77 | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~ (all_57_30 = e0) &
% 173.43/25.77 | op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.43/25.77 | op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 173.43/25.77 | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0)
% 173.43/25.77 | = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 173.43/25.77 | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 173.43/25.77 | (all_57_12 = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 = e1)
% 173.43/25.77 | & ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 &
% 173.43/25.77 | op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14
% 173.43/25.77 | & op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 173.43/25.77 | op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 173.43/25.77 | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 173.43/25.77 | & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31
% 173.43/25.77 | = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 173.43/25.77 | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 173.43/25.77 | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))) &
% 173.43/25.77 | ((all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.77 | e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 &
% 173.43/25.77 | op(e0, e0) = e3) | ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19
% 173.43/25.77 | & $i(all_57_19))) & ((all_57_28 = e3 & op(e3, e3) = e3) |
% 173.43/25.77 | (all_57_29 = e3 & op(e2, e2) = e3) | (all_57_30 = e3 & op(e1, e1) =
% 173.43/25.77 | e3) | (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 173.43/25.77 | op(e1, e3) = all_57_22 & $i(all_57_22))) & ((all_57_28 = e3 &
% 173.43/25.77 | op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 173.43/25.77 | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 173.43/25.77 | e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 173.43/25.77 | $i(all_57_25))) & ((all_57_28 = e3 & op(e3, e3) = e3) |
% 173.43/25.77 | (all_57_29 = e3 & op(e2, e2) = e3) | (all_57_30 = e3 & op(e1, e1) =
% 173.43/25.77 | e3) | (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 173.43/25.77 | op(e3, e3) = all_57_28 & $i(all_57_28))) & ((all_57_28 = e2 &
% 173.43/25.77 | op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2) |
% 173.43/25.77 | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 173.43/25.77 | e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 173.43/25.77 | $i(all_57_16))) & ((all_57_28 = e2 & op(e3, e3) = e2) |
% 173.43/25.77 | (all_57_29 = e2 & op(e2, e2) = e2) | (all_57_30 = e2 & op(e1, e1) =
% 173.43/25.77 | e2) | (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 173.43/25.77 | op(e1, e2) = all_57_23 & $i(all_57_23))) & ((all_57_28 = e2 &
% 173.43/25.77 | op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2) |
% 173.43/25.77 | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 173.43/25.77 | e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 173.43/25.77 | $i(all_57_26))) & ((all_57_28 = e2 & op(e3, e3) = e2) |
% 173.43/25.77 | (all_57_29 = e2 & op(e2, e2) = e2) | (all_57_30 = e2 & op(e1, e1) =
% 173.43/25.77 | e2) | (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 173.43/25.77 | op(e2, e2) = all_57_29 & $i(all_57_29))) & ((all_57_28 = e1 &
% 173.43/25.77 | op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1) |
% 173.43/25.77 | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 173.43/25.77 | e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 173.43/25.77 | $i(all_57_17))) & ((all_57_28 = e1 & op(e3, e3) = e1) |
% 173.43/25.77 | (all_57_29 = e1 & op(e2, e2) = e1) | (all_57_30 = e1 & op(e1, e1) =
% 173.43/25.77 | e1) | (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 173.43/25.77 | op(e2, e1) = all_57_20 & $i(all_57_20))) & ((all_57_28 = e1 &
% 173.43/25.77 | op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1) |
% 173.43/25.77 | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 173.43/25.77 | e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 173.43/25.77 | $i(all_57_27))) & ((all_57_28 = e1 & op(e3, e3) = e1) |
% 173.43/25.77 | (all_57_29 = e1 & op(e2, e2) = e1) | (all_57_30 = e1 & op(e1, e1) =
% 173.43/25.77 | e1) | (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 173.43/25.77 | op(e1, e1) = all_57_30 & $i(all_57_30))) & ((all_57_28 = e0 &
% 173.43/25.77 | op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0) |
% 173.43/25.77 | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 173.43/25.77 | e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.43/25.77 | $i(all_57_18))) & ((all_57_28 = e0 & op(e3, e3) = e0) |
% 173.43/25.77 | (all_57_29 = e0 & op(e2, e2) = e0) | (all_57_30 = e0 & op(e1, e1) =
% 173.43/25.77 | e0) | (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 173.43/25.77 | op(e2, e0) = all_57_21 & $i(all_57_21))) & ((all_57_28 = e0 &
% 173.43/25.77 | op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0) |
% 173.43/25.77 | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 173.43/25.77 | e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.43/25.77 | $i(all_57_24))) & ((all_57_28 = e0 & op(e3, e3) = e0) |
% 173.43/25.77 | (all_57_29 = e0 & op(e2, e2) = e0) | (all_57_30 = e0 & op(e1, e1) =
% 173.43/25.77 | e0) | (op(e0, e0) = all_57_31 & $i(all_57_31)))
% 173.43/25.77 |
% 173.43/25.77 | ALPHA: (237) implies:
% 173.43/25.77 | (238) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77 | e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) = all_57_31
% 173.43/25.77 | & $i(all_57_31))
% 173.43/25.77 | (239) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77 | e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 173.43/25.77 | e0) = e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.43/25.77 | $i(all_57_24))
% 173.43/25.77 | (240) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77 | e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 173.43/25.77 | e0) = e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 173.43/25.77 | $i(all_57_21))
% 173.43/25.77 | (241) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77 | e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 173.43/25.77 | e0) = e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.43/25.77 | $i(all_57_18))
% 173.43/25.77 | (242) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77 | e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77 | e0) = e1) | ( ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 173.43/25.77 | $i(all_57_30))
% 173.43/25.77 | (243) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77 | e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77 | e0) = e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 173.43/25.77 | $i(all_57_27))
% 173.43/25.77 | (244) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77 | e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77 | e0) = e1) | ( ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 173.43/25.77 | $i(all_57_20))
% 173.43/25.77 | (245) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77 | e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77 | e0) = e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 173.43/25.77 | $i(all_57_17))
% 173.43/25.77 | (246) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77 | e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77 | e0) = e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 173.43/25.77 | $i(all_57_29))
% 173.43/25.77 | (247) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77 | e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77 | e0) = e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 173.43/25.77 | $i(all_57_26))
% 173.43/25.77 | (248) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77 | e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77 | e0) = e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 173.43/25.77 | $i(all_57_23))
% 173.43/25.77 | (249) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77 | e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77 | e0) = e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 173.43/25.77 | $i(all_57_16))
% 173.43/25.78 | (250) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78 | e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78 | e0) = e3) | ( ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 173.43/25.78 | $i(all_57_28))
% 173.43/25.78 | (251) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78 | e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78 | e0) = e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 173.43/25.78 | $i(all_57_25))
% 173.43/25.78 | (252) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78 | e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78 | e0) = e3) | ( ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 173.43/25.78 | $i(all_57_22))
% 173.43/25.78 | (253) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78 | e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78 | e0) = e3) | ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 173.43/25.78 | $i(all_57_19))
% 173.43/25.78 | (254) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 & ~
% 173.43/25.78 | (all_57_0 = e3) & ~ (all_57_2 = e1) & ~ (all_57_3 = e0) & ~
% 173.43/25.78 | (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 173.43/25.78 | = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 173.43/25.78 | & op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 173.43/25.78 | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 173.43/25.78 | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)) | (all_57_2 =
% 173.43/25.78 | all_57_28 & all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 = e3) &
% 173.43/25.78 | ~ (all_57_1 = e2) & ~ (all_57_3 = e0) & ~ (all_57_28 = e1) &
% 173.43/25.78 | op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 173.43/25.78 | op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2)
% 173.43/25.78 | = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3)
% 173.43/25.78 | = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 173.43/25.78 | $i(all_57_18) & $i(all_57_28)) | (all_57_3 = all_57_28 & all_57_18
% 173.43/25.78 | = e3 & all_57_25 = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 173.43/25.78 | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3, all_57_16) =
% 173.43/25.78 | all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3, all_57_28) =
% 173.43/25.78 | all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3,
% 173.43/25.78 | e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 173.43/25.78 | $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 173.43/25.78 | $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16
% 173.43/25.78 | = e2 & all_57_19 = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 173.43/25.78 | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 173.43/25.78 | all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 173.43/25.78 | all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 173.43/25.78 | & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 173.43/25.78 | $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 173.43/25.78 | $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 173.43/25.78 | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) & ~ (all_57_7 = e0)
% 173.43/25.78 | & ~ (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 173.43/25.78 | all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3)
% 173.43/25.78 | = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0)
% 173.43/25.78 | = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 173.43/25.78 | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) |
% 173.43/25.78 | (all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 & ~
% 173.43/25.78 | (all_57_4 = e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) & ~
% 173.43/25.78 | (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 173.43/25.78 | = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 173.43/25.78 | & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2
% 173.43/25.78 | & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 173.43/25.78 | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) | (all_57_8 =
% 173.43/25.78 | all_57_30 & all_57_17 = e1 & all_57_22 = e1 & ~ (all_57_9 = e2) &
% 173.43/25.78 | ~ (all_57_10 = e1) & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 173.43/25.78 | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24)
% 173.43/25.78 | = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 173.43/25.78 | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.43/25.78 | all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 173.43/25.78 | $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 173.43/25.78 | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~ (all_57_8 = e3) &
% 173.43/25.78 | ~ (all_57_10 = e1) & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 173.43/25.78 | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24)
% 173.43/25.78 | = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.43/25.78 | all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.43/25.78 | all_57_24 & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.43/25.78 | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) =
% 173.43/25.78 | all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 =
% 173.43/25.78 | e1 & all_57_27 = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 173.43/25.78 | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1, all_57_22) =
% 173.43/25.78 | all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 173.43/25.78 | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 173.43/25.78 | op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 173.43/25.78 | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 173.43/25.78 | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 173.43/25.78 | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0, all_57_25) =
% 173.43/25.78 | all_57_12 & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) =
% 173.43/25.78 | all_57_14 & op(e0, all_57_31) = all_57_15 & op(e0, e3) =
% 173.43/25.78 | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 173.43/25.78 | $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 173.43/25.78 | $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 173.43/25.78 | | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 173.43/25.78 | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 173.43/25.78 | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 173.43/25.78 |
% 173.43/25.78 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_36_2, e0, e0,
% 173.43/25.78 | simplifying with (78), (84) gives:
% 173.43/25.78 | (255) all_36_2 = all_32_2
% 173.43/25.78 |
% 173.43/25.78 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_36_2, e0, e0,
% 173.43/25.78 | simplifying with (63), (84) gives:
% 173.43/25.78 | (256) all_36_2 = all_22_2
% 173.43/25.78 |
% 173.43/25.78 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_36_2, e0, e0,
% 173.43/25.78 | simplifying with (42), (84) gives:
% 173.43/25.78 | (257) all_36_2 = all_8_2
% 173.43/25.78 |
% 173.43/25.78 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_15, e0, e0,
% 173.43/25.78 | simplifying with (87), (156) gives:
% 173.43/25.78 | (258) all_52_15 = all_38_2
% 173.43/25.78 |
% 173.43/25.78 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_15, e0, e0,
% 173.43/25.78 | simplifying with (63), (156) gives:
% 173.43/25.78 | (259) all_52_15 = all_22_2
% 173.43/25.78 |
% 173.72/25.78 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 173.72/25.78 | e0, simplifying with (156), (173) gives:
% 173.72/25.78 | (260) all_54_15 = all_52_15
% 173.72/25.78 |
% 173.72/25.78 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_15, e0, e0,
% 173.72/25.78 | simplifying with (39), (173) gives:
% 173.72/25.78 | (261) all_54_15 = all_6_2
% 173.72/25.78 |
% 173.72/25.78 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 173.72/25.78 | e0, simplifying with (157), (174) gives:
% 173.72/25.78 | (262) all_54_14 = all_52_11
% 173.72/25.78 |
% 173.72/25.78 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 173.72/25.78 | simplifying with (158), (175) gives:
% 173.72/25.78 | (263) all_54_13 = all_52_7
% 173.72/25.78 |
% 173.72/25.78 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 173.72/25.78 | simplifying with (159), (176) gives:
% 173.72/25.78 | (264) all_54_12 = all_52_3
% 173.72/25.78 |
% 173.72/25.78 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 173.72/25.78 | e1, simplifying with (160), (177) gives:
% 173.72/25.78 | (265) all_54_11 = all_52_14
% 173.72/25.78 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_10, e1, e1,
% 173.72/25.79 | simplifying with (96), (161) gives:
% 173.72/25.79 | (266) all_52_10 = all_44_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_10, e1, e1,
% 173.72/25.79 | simplifying with (69), (161) gives:
% 173.72/25.79 | (267) all_52_10 = all_26_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_52_10, e1, e1,
% 173.72/25.79 | simplifying with (66), (161) gives:
% 173.72/25.79 | (268) all_52_10 = all_24_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_52_10, e1, e1,
% 173.72/25.79 | simplifying with (51), (161) gives:
% 173.72/25.79 | (269) all_52_10 = all_14_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_54_10, e1, e1,
% 173.72/25.79 | simplifying with (93), (178) gives:
% 173.72/25.79 | (270) all_54_10 = all_42_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_54_10, e1, e1,
% 173.72/25.79 | simplifying with (66), (178) gives:
% 173.72/25.79 | (271) all_54_10 = all_24_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_54_10, e1, e1,
% 173.72/25.79 | simplifying with (54), (178) gives:
% 173.72/25.79 | (272) all_54_10 = all_16_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 173.72/25.79 | simplifying with (162), (179) gives:
% 173.72/25.79 | (273) all_54_9 = all_52_6
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 173.72/25.79 | simplifying with (163), (180) gives:
% 173.72/25.79 | (274) all_54_8 = all_52_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 173.72/25.79 | simplifying with (164), (181) gives:
% 173.72/25.79 | (275) all_54_7 = all_52_13
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 173.72/25.79 | simplifying with (165), (182) gives:
% 173.72/25.79 | (276) all_54_6 = all_52_9
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_28_2, e2, e2,
% 173.72/25.79 | simplifying with (48), (72) gives:
% 173.72/25.79 | (277) all_28_2 = all_12_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_34_2, e2, e2,
% 173.72/25.79 | simplifying with (72), (81) gives:
% 173.72/25.79 | (278) all_34_2 = all_28_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_46_2, e2, e2,
% 173.72/25.79 | simplifying with (81), (99) gives:
% 173.72/25.79 | (279) all_46_2 = all_34_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_5, e2, e2,
% 173.72/25.79 | simplifying with (105), (166) gives:
% 173.72/25.79 | (280) all_52_5 = all_50_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_5, e2, e2,
% 173.72/25.79 | simplifying with (99), (166) gives:
% 173.72/25.79 | (281) all_52_5 = all_46_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 173.72/25.79 | simplifying with (166), (183) gives:
% 173.72/25.79 | (282) all_54_5 = all_52_5
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_54_5, e2, e2,
% 173.72/25.79 | simplifying with (45), (183) gives:
% 173.72/25.79 | (283) all_54_5 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 173.72/25.79 | simplifying with (167), (184) gives:
% 173.72/25.79 | (284) all_54_4 = all_52_1
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 173.72/25.79 | simplifying with (168), (185) gives:
% 173.72/25.79 | (285) all_54_3 = all_52_12
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 173.72/25.79 | simplifying with (169), (186) gives:
% 173.72/25.79 | (286) all_54_2 = all_52_8
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 173.72/25.79 | simplifying with (170), (187) gives:
% 173.72/25.79 | (287) all_54_1 = all_52_4
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_40_2, e3, e3,
% 173.72/25.79 | simplifying with (75), (90) gives:
% 173.72/25.79 | (288) all_40_2 = all_30_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_40_2, e3, e3,
% 173.72/25.79 | simplifying with (60), (90) gives:
% 173.72/25.79 | (289) all_40_2 = all_20_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_48_2, e3, e3,
% 173.72/25.79 | simplifying with (60), (102) gives:
% 173.72/25.79 | (290) all_48_2 = all_20_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_0, e3, e3,
% 173.72/25.79 | simplifying with (90), (171) gives:
% 173.72/25.79 | (291) all_52_0 = all_40_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_52_0, e3, e3,
% 173.72/25.79 | simplifying with (57), (171) gives:
% 173.72/25.79 | (292) all_52_0 = all_18_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_54_0, e3, e3,
% 173.72/25.79 | simplifying with (102), (188) gives:
% 173.72/25.79 | (293) all_54_0 = all_48_2
% 173.72/25.79 |
% 173.72/25.79 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_0, e3, e3,
% 173.72/25.79 | simplifying with (36), (188) gives:
% 173.72/25.79 | (294) all_54_0 = all_4_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (293), (294) imply:
% 173.72/25.79 | (295) all_48_2 = all_4_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (295) implies:
% 173.72/25.79 | (296) all_48_2 = all_4_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (282), (283) imply:
% 173.72/25.79 | (297) all_52_5 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (297) implies:
% 173.72/25.79 | (298) all_52_5 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (270), (271) imply:
% 173.72/25.79 | (299) all_42_2 = all_24_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (270), (272) imply:
% 173.72/25.79 | (300) all_42_2 = all_16_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (260), (261) imply:
% 173.72/25.79 | (301) all_52_15 = all_6_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (301) implies:
% 173.72/25.79 | (302) all_52_15 = all_6_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (291), (292) imply:
% 173.72/25.79 | (303) all_40_2 = all_18_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (303) implies:
% 173.72/25.79 | (304) all_40_2 = all_18_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (280), (281) imply:
% 173.72/25.79 | (305) all_50_2 = all_46_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (280), (298) imply:
% 173.72/25.79 | (306) all_50_2 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (266), (267) imply:
% 173.72/25.79 | (307) all_44_2 = all_26_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (266), (268) imply:
% 173.72/25.79 | (308) all_44_2 = all_24_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (266), (269) imply:
% 173.72/25.79 | (309) all_44_2 = all_14_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (258), (259) imply:
% 173.72/25.79 | (310) all_38_2 = all_22_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (258), (302) imply:
% 173.72/25.79 | (311) all_38_2 = all_6_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (305), (306) imply:
% 173.72/25.79 | (312) all_46_2 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (312) implies:
% 173.72/25.79 | (313) all_46_2 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (290), (296) imply:
% 173.72/25.79 | (314) all_20_2 = all_4_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (314) implies:
% 173.72/25.79 | (315) all_20_2 = all_4_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (279), (313) imply:
% 173.72/25.79 | (316) all_34_2 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (316) implies:
% 173.72/25.79 | (317) all_34_2 = all_10_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (307), (309) imply:
% 173.72/25.79 | (318) all_26_2 = all_14_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (307), (308) imply:
% 173.72/25.79 | (319) all_26_2 = all_24_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (299), (300) imply:
% 173.72/25.79 | (320) all_24_2 = all_16_2
% 173.72/25.79 |
% 173.72/25.79 | SIMP: (320) implies:
% 173.72/25.79 | (321) all_24_2 = all_16_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (288), (289) imply:
% 173.72/25.79 | (322) all_30_2 = all_20_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (288), (304) imply:
% 173.72/25.79 | (323) all_30_2 = all_18_2
% 173.72/25.79 |
% 173.72/25.79 | COMBINE_EQS: (310), (311) imply:
% 173.72/25.79 | (324) all_22_2 = all_6_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (324) implies:
% 173.72/25.80 | (325) all_22_2 = all_6_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (255), (256) imply:
% 173.72/25.80 | (326) all_32_2 = all_22_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (255), (257) imply:
% 173.72/25.80 | (327) all_32_2 = all_8_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (278), (317) imply:
% 173.72/25.80 | (328) all_28_2 = all_10_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (328) implies:
% 173.72/25.80 | (329) all_28_2 = all_10_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (326), (327) imply:
% 173.72/25.80 | (330) all_22_2 = all_8_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (330) implies:
% 173.72/25.80 | (331) all_22_2 = all_8_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (322), (323) imply:
% 173.72/25.80 | (332) all_20_2 = all_18_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (332) implies:
% 173.72/25.80 | (333) all_20_2 = all_18_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (277), (329) imply:
% 173.72/25.80 | (334) all_12_2 = all_10_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (334) implies:
% 173.72/25.80 | (335) all_12_2 = all_10_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (318), (319) imply:
% 173.72/25.80 | (336) all_24_2 = all_14_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (336) implies:
% 173.72/25.80 | (337) all_24_2 = all_14_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (321), (337) imply:
% 173.72/25.80 | (338) all_16_2 = all_14_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (325), (331) imply:
% 173.72/25.80 | (339) all_8_2 = all_6_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (339) implies:
% 173.72/25.80 | (340) all_8_2 = all_6_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (315), (333) imply:
% 173.72/25.80 | (341) all_18_2 = all_4_2
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (341) implies:
% 173.72/25.80 | (342) all_18_2 = all_4_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (323), (342) imply:
% 173.72/25.80 | (343) all_30_2 = all_4_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (327), (340) imply:
% 173.72/25.80 | (344) all_32_2 = all_6_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (255), (344) imply:
% 173.72/25.80 | (345) all_36_2 = all_6_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (288), (343) imply:
% 173.72/25.80 | (346) all_40_2 = all_4_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (300), (338) imply:
% 173.72/25.80 | (347) all_42_2 = all_14_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (292), (342) imply:
% 173.72/25.80 | (348) all_52_0 = all_4_2
% 173.72/25.80 |
% 173.72/25.80 | COMBINE_EQS: (270), (347) imply:
% 173.72/25.80 | (349) all_54_10 = all_14_2
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (155), (348) imply:
% 173.72/25.80 | (350) ~ (all_52_1 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (350) implies:
% 173.72/25.80 | (351) ~ (all_52_1 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (154), (348) imply:
% 173.72/25.80 | (352) ~ (all_52_2 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (352) implies:
% 173.72/25.80 | (353) ~ (all_52_2 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (153), (348) imply:
% 173.72/25.80 | (354) ~ (all_52_3 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (354) implies:
% 173.72/25.80 | (355) ~ (all_52_3 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (152), (348) imply:
% 173.72/25.80 | (356) ~ (all_52_4 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (356) implies:
% 173.72/25.80 | (357) ~ (all_52_4 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (151), (348) imply:
% 173.72/25.80 | (358) ~ (all_52_8 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (358) implies:
% 173.72/25.80 | (359) ~ (all_52_8 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (150), (348) imply:
% 173.72/25.80 | (360) ~ (all_52_12 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (360) implies:
% 173.72/25.80 | (361) ~ (all_52_12 = all_4_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (147), (298) imply:
% 173.72/25.80 | (362) ~ (all_52_1 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (142), (269) imply:
% 173.72/25.80 | (363) ~ (all_52_2 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (138), (302) imply:
% 173.72/25.80 | (364) ~ (all_52_3 = all_6_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (137), (298) imply:
% 173.72/25.80 | (365) ~ (all_52_4 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (132), (298) imply:
% 173.72/25.80 | (366) ~ (all_52_6 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (366) implies:
% 173.72/25.80 | (367) ~ (all_52_6 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (131), (298) imply:
% 173.72/25.80 | (368) ~ (all_52_7 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (368) implies:
% 173.72/25.80 | (369) ~ (all_52_7 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (130), (298) imply:
% 173.72/25.80 | (370) ~ (all_52_9 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (370) implies:
% 173.72/25.80 | (371) ~ (all_52_9 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (129), (298) imply:
% 173.72/25.80 | (372) ~ (all_52_13 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (372) implies:
% 173.72/25.80 | (373) ~ (all_52_13 = all_10_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (127), (269) imply:
% 173.72/25.80 | (374) ~ (all_52_6 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (124), (302) imply:
% 173.72/25.80 | (375) ~ (all_52_7 = all_6_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (122), (269) imply:
% 173.72/25.80 | (376) ~ (all_52_8 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (119), (269) imply:
% 173.72/25.80 | (377) ~ (all_52_9 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (116), (269) imply:
% 173.72/25.80 | (378) ~ (all_52_11 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (378) implies:
% 173.72/25.80 | (379) ~ (all_52_11 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (115), (269) imply:
% 173.72/25.80 | (380) ~ (all_52_14 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | SIMP: (380) implies:
% 173.72/25.80 | (381) ~ (all_52_14 = all_14_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (114), (302) imply:
% 173.72/25.80 | (382) ~ (all_52_11 = all_6_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (111), (302) imply:
% 173.72/25.80 | (383) ~ (all_52_12 = all_6_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (109), (302) imply:
% 173.72/25.80 | (384) ~ (all_52_13 = all_6_2)
% 173.72/25.80 |
% 173.72/25.80 | REDUCE: (108), (302) imply:
% 173.72/25.80 | (385) ~ (all_52_14 = all_6_2)
% 173.72/25.80 |
% 173.72/25.80 | BETA: splitting (37) gives:
% 173.72/25.80 |
% 173.72/25.80 | Case 1:
% 173.72/25.80 | |
% 173.72/25.80 | | (386) ~ (all_4_2 = e0)
% 173.72/25.80 | |
% 173.72/25.80 | | BETA: splitting (40) gives:
% 173.72/25.80 | |
% 173.72/25.80 | | Case 1:
% 173.72/25.80 | | |
% 173.72/25.80 | | | (387) ~ (all_6_2 = e1)
% 173.72/25.80 | | |
% 173.72/25.80 | | | BETA: splitting (43) gives:
% 173.72/25.80 | | |
% 173.72/25.80 | | | Case 1:
% 173.72/25.80 | | | |
% 173.72/25.80 | | | | (388) ~ (all_8_2 = e2)
% 173.72/25.80 | | | |
% 173.72/25.80 | | | | REDUCE: (340), (388) imply:
% 173.72/25.80 | | | | (389) ~ (all_6_2 = e2)
% 173.72/25.80 | | | |
% 173.72/25.80 | | | | BETA: splitting (46) gives:
% 173.72/25.80 | | | |
% 173.72/25.80 | | | | Case 1:
% 173.72/25.80 | | | | |
% 173.72/25.80 | | | | | (390) ~ (all_10_2 = e3)
% 173.72/25.80 | | | | |
% 173.72/25.80 | | | | | BETA: splitting (49) gives:
% 173.72/25.80 | | | | |
% 173.72/25.80 | | | | | Case 1:
% 173.72/25.80 | | | | | |
% 173.72/25.80 | | | | | | (391) ~ (all_12_2 = e0)
% 173.72/25.80 | | | | | |
% 173.72/25.80 | | | | | | REDUCE: (335), (391) imply:
% 173.72/25.80 | | | | | | (392) ~ (all_10_2 = e0)
% 173.72/25.80 | | | | | |
% 173.72/25.80 | | | | | | BETA: splitting (52) gives:
% 173.72/25.80 | | | | | |
% 173.72/25.80 | | | | | | Case 1:
% 173.72/25.80 | | | | | | |
% 173.72/25.80 | | | | | | | (393) ~ (all_14_2 = e2)
% 173.72/25.80 | | | | | | |
% 173.72/25.80 | | | | | | | BETA: splitting (55) gives:
% 173.72/25.80 | | | | | | |
% 173.72/25.80 | | | | | | | Case 1:
% 173.72/25.80 | | | | | | | |
% 173.72/25.80 | | | | | | | | (394) ~ (all_16_2 = e3)
% 173.72/25.80 | | | | | | | |
% 173.72/25.80 | | | | | | | | REDUCE: (338), (394) imply:
% 173.72/25.80 | | | | | | | | (395) ~ (all_14_2 = e3)
% 173.72/25.80 | | | | | | | |
% 173.72/25.80 | | | | | | | | BETA: splitting (58) gives:
% 173.72/25.80 | | | | | | | |
% 173.72/25.80 | | | | | | | | Case 1:
% 173.72/25.80 | | | | | | | | |
% 173.72/25.80 | | | | | | | | | (396) ~ (all_18_2 = e1)
% 173.72/25.80 | | | | | | | | |
% 173.72/25.80 | | | | | | | | | REDUCE: (342), (396) imply:
% 173.72/25.80 | | | | | | | | | (397) ~ (all_4_2 = e1)
% 173.72/25.80 | | | | | | | | |
% 173.72/25.80 | | | | | | | | | BETA: splitting (70) gives:
% 173.72/25.80 | | | | | | | | |
% 173.72/25.80 | | | | | | | | | Case 1:
% 173.72/25.80 | | | | | | | | | |
% 173.72/25.80 | | | | | | | | | | (398) ~ (all_26_2 = e0)
% 173.72/25.80 | | | | | | | | | |
% 173.72/25.80 | | | | | | | | | | REDUCE: (318), (398) imply:
% 173.72/25.80 | | | | | | | | | | (399) ~ (all_14_2 = e0)
% 173.72/25.80 | | | | | | | | | |
% 173.72/25.80 | | | | | | | | | | BETA: splitting (238) gives:
% 173.72/25.80 | | | | | | | | | |
% 173.72/25.80 | | | | | | | | | | Case 1:
% 173.72/25.80 | | | | | | | | | | |
% 173.72/25.80 | | | | | | | | | | | (400) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.80 | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 173.72/25.81 | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (400), (function-axioms)
% 173.72/25.81 | | | | | | | | | | | are inconsistent by sub-proof #1622.
% 173.72/25.81 | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | Case 2:
% 173.72/25.81 | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | (401) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 173.72/25.81 | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 173.72/25.81 | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | BETA: splitting (401) gives:
% 173.72/25.81 | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | (402) all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (393), (395), (399), (402),
% 173.72/25.81 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 173.72/25.81 | | | | | | | | | | | | #1616.
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | Case 2:
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | (403) op(e0, e0) = all_57_31 & $i(all_57_31)
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | ALPHA: (403) implies:
% 173.72/25.81 | | | | | | | | | | | | (404) op(e0, e0) = all_57_31
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | BETA: splitting (194) gives:
% 173.72/25.81 | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | (405) all_54_10 = e3
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | COMBINE_EQS: (349), (405) imply:
% 173.72/25.81 | | | | | | | | | | | | | (406) all_14_2 = e3
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | REDUCE: (395), (406) imply:
% 173.72/25.81 | | | | | | | | | | | | | (407) $false
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | CLOSE: (407) is inconsistent.
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | Case 2:
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | (408) ~ (all_54_10 = e3)
% 173.72/25.81 | | | | | | | | | | | | | (409) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | BETA: splitting (409) gives:
% 173.72/25.81 | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | (410) all_54_10 = e2
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | COMBINE_EQS: (349), (410) imply:
% 173.72/25.81 | | | | | | | | | | | | | | (411) all_14_2 = e2
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | REDUCE: (393), (411) imply:
% 173.72/25.81 | | | | | | | | | | | | | | (412) $false
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | CLOSE: (412) is inconsistent.
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | Case 2:
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | (413) ~ (all_54_10 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | (414) all_54_10 = e1 | all_54_10 = e0
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 173.72/25.81 | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | (415) all_54_10 = e1
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (415) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (416) all_14_2 = e1
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (363), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (417) ~ (all_52_2 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (376), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (418) ~ (all_52_8 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (377), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (419) ~ (all_52_9 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (379), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (420) ~ (all_52_11 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (381), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (421) ~ (all_52_14 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (395), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (422) ~ (e3 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (393), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (423) ~ (e2 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | REDUCE: (51), (416) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | (424) op(e1, e1) = e1
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 173.72/25.81 | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (404)
% 173.72/25.81 | | | | | | | | | | | | | | | gives:
% 173.72/25.81 | | | | | | | | | | | | | | | (425) all_57_31 = all_6_2
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 173.72/25.81 | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | (426) ~ (all_28_2 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | REDUCE: (329), (426) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | (427) ~ (all_10_2 = e1)
% 173.72/25.81 | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 173.72/25.81 | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | (428) all_54_5 = e3
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (428) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | (429) all_10_2 = e3
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | REDUCE: (390), (429) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | (430) $false
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | CLOSE: (430) is inconsistent.
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | (431) ~ (all_54_5 = e3)
% 173.72/25.81 | | | | | | | | | | | | | | | | | (432) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 173.72/25.81 | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (433) all_54_5 = e2
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (433) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (434) all_10_2 = e2
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (365), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (435) ~ (all_52_4 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (367), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (436) ~ (all_52_6 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (369), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (437) ~ (all_52_7 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (371), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (438) ~ (all_52_9 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (373), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (439) ~ (all_52_13 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (390), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (440) ~ (e3 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | REDUCE: (45), (434) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | (441) op(e2, e2) = e2
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 173.72/25.81 | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | (442) ~ (all_30_2 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | REDUCE: (343), (442) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | (443) ~ (all_4_2 = e2)
% 173.72/25.81 | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | (444) all_54_0 = e3
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (444) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | (445) all_4_2 = e3
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (445) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | (446) ~ (all_52_4 = e3)
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (445) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | (447) ~ (all_52_8 = e3)
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (445) imply:
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | (448) ~ (all_52_12 = e3)
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (445) imply:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | (449) op(e3, e3) = e3
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | (450) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | (451) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (452) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (453) op(e3, e2) = e3
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (453) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (454) all_52_4 = e3
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (454) imply:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (455) $false
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (455) is inconsistent.
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (456) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (457) op(e3, e1) = e3
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (457) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (458) all_52_8 = e3
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (458) imply:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (459) $false
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (459) is inconsistent.
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | (460) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (461) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (462) op(e3, e0) = e3
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (448), (462), (function-axioms) are
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (463) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (464) op(e3, e2) = e2
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (464) gives:
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | (465) all_52_4 = e2
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (465) imply:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | (466) $false
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (466) is inconsistent.
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (467) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (468) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (436), (437), (468),
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | #1612.
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (469) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | (470) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | (471) op(e3, e1) = e1
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (418), (471), (function-axioms) are
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.83 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (472) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (473) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (473) implies:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (474) op(e2, e1) = e1
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (419), (474), (function-axioms) are
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (475) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (476) op(e0, e1) = all_57_27
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (477) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (479) op(e1, e0) = e1
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (479), (function-axioms) are
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (480) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (481) ~ (all_57_15 = e0)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (482) op(e0, e2) = all_57_26
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (483) op(e0, e3) = all_57_25
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (484) op(e0, all_57_31) = all_57_15
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (425), (484) imply:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (486) op(e0, all_6_2) = all_57_15
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (476)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_57_27 = all_52_11
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e2, e0, simplifying with (158), (482)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_57_26 = all_52_7
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (483)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_57_25 = all_52_3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (490) ~ (all_32_2 = e3)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (490) imply:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (491) ~ (all_6_2 = e3)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (481), (486),
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (491), (function-axioms) are inconsistent by
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_32_2 = e3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (492) imply:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_6_2 = e3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (493) implies:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_6_2 = e3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (494) imply:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_57_31 = e3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (494) imply:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (496) op(e0, e3) = all_57_15
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (494) imply:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (497) op(e0, e0) = e3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (441), (446), (498), (function-axioms)
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1601.
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_56_7 = e3 & op(e1, e2) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (500) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_56_7 = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) op(e1, e2) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_56_2 = e3 & op(e2, e3) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (504) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_56_2 = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) op(e2, e3) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (229),
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (386), (417), (449), (505), (506),
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1587.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_56_3 = e3 & op(e2, e2) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) op(e2, e2) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (441), (508), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) all_56_5 = e3 & op(e2, e1) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_56_5 = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) op(e2, e1) = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (441), (513), (function-axioms)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1585.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (515) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) op(e1, e1) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (516), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_57_31 = e0 & op(e0, e0) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_57_31 = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (519), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) ~ (all_57_18 = e3)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) op(e3, e0) = all_57_18
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (441), (523), (function-axioms)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1585.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) op(e1, e1) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (526), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_57_31 = e0 & op(e0, e0) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_57_31 = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (529), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) ~ (all_57_21 = e2)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) op(e2, e0) = all_57_21
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (441), (533), (function-axioms)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1585.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (534) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (535) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) op(e1, e1) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (536), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_57_31 = e0 & op(e0, e0) = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_57_31 = e0
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (539), (function-axioms) are
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ~ (all_57_24 = e1)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) op(e1, e0) = all_57_24
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e3, e0, simplifying with (159), (496)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_57_15 = all_52_3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e0, e1, simplifying with (160), (542)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_57_24 = all_52_14
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (502) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) all_52_6 = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e0, e2, simplifying with (164), (532)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_57_21 = all_52_13
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (512) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_52_9 = e3
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (168), (522)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_57_18 = all_52_12
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (545) imply:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) ~ (all_52_14 = e3)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (549) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) ~ (all_52_14 = e3)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (551) gives:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_56_0 = e2 & op(e3, e3) = e2
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (552) implies:
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_56_0 = e2
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) op(e3, e3) = e2
% 173.72/25.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (112), (113), (118), (120), (121), (123),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (134), (139), (141), (157), (158),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (194), (198), (201),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (206), (207), (208), (209), (210), (211),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (216), (217), (219), (220), (222),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (239), (240), (241), (250), (251),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (253), (254), (261), (276), (285), (286),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (349), (375), (376), (383), (384), (385),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (393), (395), (397), (418),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419), (420), (421), (424), (425), (437), (439),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (553), (554), (function-axioms) are
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_56_2 = e2 & op(e2, e3) = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_56_2 = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) op(e2, e3) = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (419), (441), (556), (557),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1406.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (558) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_56_6 = e2 & op(e1, e3) = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (559) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_56_6 = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (561) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_56_6 = e0 & op(e1, e3) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (560), (562) are inconsistent by sub-proof
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) all_56_7 = e0 & op(e1, e2) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (563) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) all_56_7 = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (564) imply:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) e3 = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (495), (565),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (566) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_56_8 = e0 & op(e1, e1) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) op(e1, e1) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (568), (function-axioms) are
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_56_11 = e0 & op(e1, e0) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) op(e1, e0) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_56_0 = e0 & op(e3, e3) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (572) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) op(e3, e3) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (573), (function-axioms) are
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_56_2 = e0 & op(e2, e3) = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (574) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_56_2 = e0
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (441), (575), (576), (function-axioms)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1404.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (577) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_56_5 = e1 & op(e2, e1) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (578) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) op(e2, e1) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (512), (579), (function-axioms) are
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_56_10 = e1 & op(e2, e0) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (580) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) op(e2, e0) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_56_9 = e2 & op(e3, e0) = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) all_56_9 = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) op(e3, e0) = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_56_0 = e1 & op(e3, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (587) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) op(e3, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (449), (588), (function-axioms) are
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_56_1 = e1 & op(e3, e2) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (589) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_56_1 = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (591) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) all_56_0 = e1 & op(e3, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (592) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) op(e3, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (584), (590), (593),
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1398.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) all_56_2 = e1 & op(e2, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (594) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) all_56_2 = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (575), (595) are inconsistent by sub-proof
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1535.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (596) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) all_56_6 = e1 & op(e1, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (597) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) op(e1, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (417), (598), (function-axioms) are
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_56_12 = e1 & op(e0, e3) = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (599) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_56_12 = e1
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (437), (600), (601), (function-axioms)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1397.
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) all_56_14 = e2 & op(e0, e1) = e2
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (603) implies:
% 173.72/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) all_56_14 = e2
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) op(e0, e1) = e2
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives:
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) all_56_4 = e0 & op(e3, e1) = e0
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (607) implies:
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_56_4 = e0
% 174.08/25.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (605) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_52_11 = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (570) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_52_14 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (581) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_52_13 = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (585) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_52_12 = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (609) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) all_57_27 = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (611) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_57_21 = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (612) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_57_18 = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (610) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) ~ (e1 = e0)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_57_31 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (617), (function-axioms) are
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (618) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) all_57_18 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (620) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) e2 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (621) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_56_9 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (449), (590), (608), (622),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1392.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (623) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (614), (624) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1391.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_57_27 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (626) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) e2 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (627) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) e2 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (628) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_56_9 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (449), (590), (608), (629),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1392.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_56_5 = e0 & op(e2, e1) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (630) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_56_5 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (631) imply:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) e3 = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (495), (632),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (424), (604), (633), (function-axioms)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1390.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) all_56_15 = e2 & op(e0, e0) = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) op(e0, e0) = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (635), (function-axioms) are
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (418), (584), (636), (function-axioms)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1389.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) all_56_10 = e2 & op(e2, e0) = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (637) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) op(e2, e0) = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (532), (638), (function-axioms) are
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (424), (560), (639), (function-axioms) are
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_56_6 = e0 & op(e1, e3) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (560), (641) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) all_56_12 = e0 & op(e0, e3) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (642) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) op(e0, e3) = e0
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (644) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_56_12 = e1 & op(e0, e3) = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (645) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) op(e0, e3) = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (643), (646), (function-axioms) are
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_56_13 = e1 & op(e0, e2) = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (647) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_56_13 = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (225), (227),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (418), (449), (501), (531), (532), (648),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649), (function-axioms) are inconsistent by
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1384.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (424), (560), (650), (function-axioms) are
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (420), (651),
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_56_12 = e2 & op(e0, e3) = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (652) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_56_12 = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) op(e0, e3) = e2
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (655) gives:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_56_12 = e1 & op(e0, e3) = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_56_12 = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (653), (657) are inconsistent by sub-proof
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1383.
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_56_13 = e1 & op(e0, e2) = e1
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_56_13 = e1
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) op(e0, e2) = e1
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_56_15 = e0 & op(e0, e0) = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) op(e0, e0) = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (497), (662), (function-axioms) are
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (664) gives:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_56_12 = e0 & op(e0, e3) = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (665) implies:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) all_56_12 = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (653), (666) are inconsistent by sub-proof
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (667) gives:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_56_13 = e0 & op(e0, e2) = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (668) implies:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) all_56_13 = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (659), (669) are inconsistent by sub-proof
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) all_56_14 = e0 & op(e0, e1) = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_56_14 = e0
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (227), (449),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501), (659), (672), (function-axioms) are
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1386.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_56_4 = e1 & op(e3, e1) = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) all_56_4 = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (424), (511), (671), (675),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1471.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) all_56_9 = e1 & op(e3, e0) = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (676) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_56_9 = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) op(e3, e0) = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (225), (227),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (418), (449), (501), (531), (532), (659),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679), (function-axioms) are inconsistent by
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1384.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (680) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) all_56_11 = e2 & op(e1, e0) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (681) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) all_56_11 = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) op(e1, e0) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) all_56_0 = e2 & op(e3, e3) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) all_56_0 = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) op(e3, e3) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (112), (113), (118), (120), (121), (123),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (134), (139), (141), (157), (158),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (194), (198), (201),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (206), (207), (208), (209), (210), (211),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (216), (217), (219), (220), (222),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (239), (240), (241), (250), (251), (252),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253), (254), (261), (276), (285), (286), (344),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349), (375), (376), (383), (384), (385), (386),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (393), (395), (397), (418), (419),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420), (421), (424), (425), (437), (441), (682),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683), (686), (687), (function-axioms) are
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1418.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) all_56_1 = e2 & op(e3, e2) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) op(e3, e2) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (435), (689), (function-axioms) are
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) all_56_4 = e2 & op(e3, e1) = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) all_56_4 = e2
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (693) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) all_56_0 = e1 & op(e3, e3) = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (694) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) op(e3, e3) = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (677), (692), (695),
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) all_56_2 = e1 & op(e2, e3) = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) all_56_2 = e1
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (698) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) all_56_2 = e0 & op(e2, e3) = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (699) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_56_2 = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (697), (700) are inconsistent by sub-proof
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1535.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) all_56_3 = e0 & op(e2, e2) = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) op(e2, e2) = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (441), (702), (function-axioms) are
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) all_56_5 = e0 & op(e2, e1) = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_56_5 = e0
% 174.14/25.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (160),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (220), (387), (389), (421), (424),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437), (477), (495), (664), (692), (705),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) all_56_10 = e0 & op(e2, e0) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) op(e2, e0) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_56_6 = e0 & op(e1, e3) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_56_6 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) op(e1, e3) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (660) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_52_7 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (654) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_52_3 = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (683) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) all_52_14 = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (711) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_52_2 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (707) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_52_13 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (678) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) all_52_12 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (712) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_57_26 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (713) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) all_57_25 = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (714) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) all_57_24 = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (716) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) ~ (e2 = e0)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_57_31 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (722), (function-axioms) are
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) ~ (all_57_31 = e0)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (724) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (725) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_57_25 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (726) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) e2 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (727) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_56_12 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (697),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710), (711), (728), (function-axioms) are
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1361.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (729) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (718), (730) are inconsistent by sub-proof
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_57_24 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (732) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) e2 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (733) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) e2 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (734) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) all_56_12 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (697),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710), (711), (735), (function-axioms) are
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1361.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_56_7 = e0 & op(e1, e2) = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (736) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_56_7 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (737) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) e3 = e0
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (495), (738),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (424), (682), (739), (function-axioms)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1422.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (740) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) all_56_6 = e1 & op(e1, e3) = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (741) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) op(e1, e3) = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (417), (742), (function-axioms) are
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_56_12 = e1 & op(e0, e3) = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (743) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_56_12 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (744) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) e2 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (745) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) e2 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (746) imply:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_56_4 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (424), (511), (671), (747),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1471.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_56_9 = e2 & op(e3, e0) = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) all_56_9 = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (225), (227),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (418), (449), (501), (659), (749),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1385.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_56_15 = e2 & op(e0, e0) = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) op(e0, e0) = e2
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (751), (function-axioms) are
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (420), (752),
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_56_10 = e3 & op(e2, e0) = e3
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (753) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_56_10 = e3
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (755) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_56_9 = e1 & op(e3, e0) = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (756) implies:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_56_9 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (758) gives:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_56_2 = e1 & op(e2, e3) = e1
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (759) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_56_2 = e1
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (761) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_56_2 = e0 & op(e2, e3) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (762) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_56_2 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (763) imply:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) e1 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (764) imply:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_56_9 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (421), (754),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765), (function-axioms) are inconsistent by
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1483.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_56_3 = e0 & op(e2, e2) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) op(e2, e2) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (441), (767), (function-axioms) are
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_56_5 = e0 & op(e2, e1) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_56_5 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_56_15 = e0 & op(e0, e0) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (771) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) op(e0, e0) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (497), (772), (function-axioms) are
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (773) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_56_0 = e2 & op(e3, e3) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (776) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_56_0 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) op(e3, e3) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (112), (113), (118), (120), (121), (123),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (134), (139), (141), (157), (158),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (194), (198), (201),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (206), (207), (208), (209), (210), (211),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (216), (217), (219), (220), (222),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (239), (240), (241), (250), (251),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (253), (254), (261), (276), (285), (286),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (349), (375), (376), (383), (384), (385),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (393), (395), (397), (418),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419), (420), (421), (424), (425), (437), (439),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441), (777), (778), (function-axioms) are
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_56_1 = e2 & op(e3, e2) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (779) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) op(e3, e2) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (435), (780), (function-axioms) are
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (781) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_56_4 = e2 & op(e3, e1) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (782) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_56_4 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (160),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (220), (387), (389), (421), (424),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437), (477), (495), (770), (774), (783),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_56_9 = e2 & op(e3, e0) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (784) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_56_9 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (160), (210), (387), (421), (754),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785), (function-axioms) are inconsistent by
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_56_10 = e0 & op(e2, e0) = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (786) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_56_10 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (787) imply:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) e3 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (788) imply:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_57_31 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (789), (function-axioms) are
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1583.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_56_3 = e1 & op(e2, e2) = e1
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (790) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) op(e2, e2) = e1
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (441), (791), (function-axioms) are
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (419), (754), (792), (function-axioms)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1485.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_56_10 = e1 & op(e2, e0) = e1
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (754), (793) are inconsistent by sub-proof
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (421), (794),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1488.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_56_13 = e3 & op(e0, e2) = e3
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_56_13 = e3
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (157), (158),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (387), (389), (420), (437),
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497), (796), (function-axioms) are inconsistent
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1356.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | (797) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (397), (443), (797) are inconsistent
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | by sub-proof #1354.
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | (798) all_30_2 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (798) imply:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | (799) all_4_2 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | SIMP: (799) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | (800) all_4_2 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (800) imply:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | (801) op(e3, e3) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | (802) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (802) gives:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | (803) all_56_0 = e2 & op(e3, e3) = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | | (804) all_56_0 = e2
% 174.14/25.90 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (79), (112), (113), (118), (120), (121), (123),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (125), (126), (134), (139), (141), (157), (158),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (194), (198), (201),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (202), (206), (207), (208), (209), (210), (211),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (212), (213), (216), (217), (219), (220), (222),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (235), (236), (239), (240), (241), (250), (251),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (252), (253), (254), (261), (276), (285), (286),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (344), (349), (375), (376), (383), (384), (385),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (393), (395), (397), (418),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (419), (420), (421), (424), (425), (437), (439),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (441), (801), (804), (function-axioms) are
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (805) all_56_2 = e2 & op(e2, e3) = e2
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (805) implies:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (806) all_56_2 = e2
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (807) op(e2, e3) = e2
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (224), (419), (441), (806), (807),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | #1406.
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | (808) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (809) all_56_6 = e2 & op(e1, e3) = e2
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (810) all_56_6 = e2
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | (811) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (386), (439), (801), (811),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | #1561.
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | (812) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | (389), (424), (810), (812), (function-axioms) are
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (813) all_56_12 = e2 & op(e0, e3) = e2
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | (235), (386), (801), (813), (function-axioms) are
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1544.
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | (814) all_54_5 = e1 | all_54_5 = e0
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (427), (814) are inconsistent by
% 174.14/25.91 | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | End of split
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | (815) all_28_2 = e1
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (815) imply:
% 174.14/25.91 | | | | | | | | | | | | | | | | (816) all_10_2 = e1
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | REDUCE: (362), (816) imply:
% 174.14/25.91 | | | | | | | | | | | | | | | | (817) ~ (all_52_1 = e1)
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | REDUCE: (373), (816) imply:
% 174.14/25.91 | | | | | | | | | | | | | | | | (818) ~ (all_52_13 = e1)
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | REDUCE: (45), (816) imply:
% 174.14/25.91 | | | | | | | | | | | | | | | | (819) op(e2, e2) = e1
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.14/25.91 | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | (820) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.14/25.91 | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (397), (817), (820),
% 174.14/25.91 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.14/25.91 | | | | | | | | | | | | | | | | | #1351.
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | (821) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.14/25.91 | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | BETA: splitting (821) gives:
% 174.14/25.91 | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | (822) all_56_6 = e1 & op(e1, e3) = e1
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | ALPHA: (822) implies:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | (823) op(e1, e3) = e1
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (417), (823), (function-axioms) are
% 174.14/25.91 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | (824) all_56_12 = e1 & op(e0, e3) = e1
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.14/25.91 | | | | | | | | | | | | | | | | | | ALPHA: (824) implies:
% 174.14/25.91 | | | | | | | | | | | | | | | | | | (825) all_56_12 = e1
% 174.14/25.91 | | | | | | | | | | | | | | | | | | (826) op(e0, e3) = e1
% 174.14/25.91 | | | | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (76), (79), (110), (112), (118), (120), (121),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (136), (139), (140), (148), (158), (159), (160),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (193), (194), (195),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (200), (202), (203), (204), (206), (207), (208),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (209), (210), (219), (220), (221), (223), (224),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (229), (233), (240), (241), (246), (247), (248),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (249), (250), (251), (252), (253), (254), (261),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (262), (263), (265), (273), (284), (286), (287),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (294), (343), (344), (349), (351), (353), (355),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (357), (359), (361), (375), (376), (381), (382),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (383), (384), (385), (386), (387), (389), (393),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (395), (399), (414), (419), (421), (424), (818),
% 174.27/25.91 | | | | | | | | | | | | | | | | | | (819), (825), (826), (function-axioms) are
% 174.27/25.91 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 174.27/25.91 | | | | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | Case 2:
% 174.27/25.91 | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | (827) all_54_10 = e0
% 174.27/25.91 | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (827) imply:
% 174.27/25.91 | | | | | | | | | | | | | | | (828) all_14_2 = e0
% 174.27/25.91 | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | REDUCE: (399), (828) imply:
% 174.27/25.91 | | | | | | | | | | | | | | | (829) $false
% 174.27/25.91 | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | | CLOSE: (829) is inconsistent.
% 174.27/25.91 | | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | End of split
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | Case 2:
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | (830) all_26_2 = e0
% 174.27/25.91 | | | | | | | | | | (831) ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.27/25.91 | | | | | | | | | | $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1)
% 174.27/25.91 | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | COMBINE_EQS: (318), (830) imply:
% 174.27/25.91 | | | | | | | | | | (832) all_14_2 = e0
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | SIMP: (832) implies:
% 174.27/25.91 | | | | | | | | | | (833) all_14_2 = e0
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (363), (833) imply:
% 174.27/25.91 | | | | | | | | | | (834) ~ (all_52_2 = e0)
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (374), (833) imply:
% 174.27/25.91 | | | | | | | | | | (835) ~ (all_52_6 = e0)
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (376), (833) imply:
% 174.27/25.91 | | | | | | | | | | (836) ~ (all_52_8 = e0)
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (377), (833) imply:
% 174.27/25.91 | | | | | | | | | | (837) ~ (all_52_9 = e0)
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (381), (833) imply:
% 174.27/25.91 | | | | | | | | | | (838) ~ (all_52_14 = e0)
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (395), (833) imply:
% 174.27/25.91 | | | | | | | | | | (839) ~ (e3 = e0)
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | REDUCE: (51), (833) imply:
% 174.27/25.91 | | | | | | | | | | (840) op(e1, e1) = e0
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | BETA: splitting (73) gives:
% 174.27/25.91 | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | Case 1:
% 174.27/25.91 | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | (841) ~ (all_28_2 = e1)
% 174.27/25.91 | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | REDUCE: (329), (841) imply:
% 174.27/25.91 | | | | | | | | | | | (842) ~ (all_10_2 = e1)
% 174.27/25.91 | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | BETA: splitting (243) gives:
% 174.27/25.91 | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | Case 1:
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | (843) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.91 | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (397),
% 174.27/25.91 | | | | | | | | | | | | (842), (843), (function-axioms) are inconsistent
% 174.27/25.91 | | | | | | | | | | | | by sub-proof #1269.
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | Case 2:
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | (844) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.91 | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 174.27/25.91 | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | BETA: splitting (844) gives:
% 174.27/25.91 | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | Case 1:
% 174.27/25.91 | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | (845) all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.91 | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | ALPHA: (845) implies:
% 174.27/25.91 | | | | | | | | | | | | | (846) op(e1, e1) = e1
% 174.27/25.91 | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | | REF_CLOSE: (4), (840), (846), (function-axioms) are
% 174.27/25.91 | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 174.27/25.91 | | | | | | | | | | | | |
% 174.27/25.91 | | | | | | | | | | | | Case 2:
% 174.27/25.91 | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | (847) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92 | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 174.27/25.92 | | | | | | | | | | | | | $i(all_57_27))
% 174.27/25.92 | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | BETA: splitting (847) gives:
% 174.27/25.92 | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | (848) all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | ALPHA: (848) implies:
% 174.27/25.92 | | | | | | | | | | | | | | (849) op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (849), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | (850) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 174.27/25.92 | | | | | | | | | | | | | | $i(all_57_27)
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | ALPHA: (850) implies:
% 174.27/25.92 | | | | | | | | | | | | | | (851) ~ (all_57_27 = e0)
% 174.27/25.92 | | | | | | | | | | | | | | (852) op(e0, e1) = all_57_27
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 174.27/25.92 | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | (853) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.92 | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 174.27/25.92 | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (397),
% 174.27/25.92 | | | | | | | | | | | | | | | (842), (853), (function-axioms) are inconsistent
% 174.27/25.92 | | | | | | | | | | | | | | | by sub-proof #1269.
% 174.27/25.92 | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | (854) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.92 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 174.27/25.92 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 174.27/25.92 | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | BETA: splitting (854) gives:
% 174.27/25.92 | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | (855) all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | ALPHA: (855) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | (856) op(e1, e1) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (840), (856), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | (857) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92 | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 174.27/25.92 | | | | | | | | | | | | | | | | $i(all_57_30))
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | BETA: splitting (857) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | (858) all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | ALPHA: (858) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | (859) op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (859), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | (860) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 174.27/25.92 | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | ALPHA: (860) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | (861) ~ (all_57_30 = e1)
% 174.27/25.92 | | | | | | | | | | | | | | | | | (862) op(e1, e1) = all_57_30
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | (863) all_54_5 = e3
% 174.27/25.92 | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (390), (863) are inconsistent by sub-proof
% 174.27/25.92 | | | | | | | | | | | | | | | | | | #1268.
% 174.27/25.92 | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | (864) ~ (all_54_5 = e3)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | (865) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.27/25.92 | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | BETA: splitting (865) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (866) all_54_5 = e2
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (866) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (867) all_10_2 = e2
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | SIMP: (867) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (868) all_10_2 = e2
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (868) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (869) ~ (all_52_6 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (868) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (870) ~ (all_52_7 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (868) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (871) ~ (all_52_13 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (868) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (872) ~ (e3 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (868) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | (873) op(e2, e2) = e2
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | (874) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (397), (873), (874), (function-axioms)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1267.
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | (875) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | (876) all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (876) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | (877) op(e1, e1) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (861), (862), (877), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | (878) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (878) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | (879) all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (879) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | (880) op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (880), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | (881) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (881) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | (882) ~ (all_57_17 = e3)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | (883) op(e3, e1) = all_57_17
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | (884) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (397), (873), (884), (function-axioms)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1267.
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | (885) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (885) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (886) all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (886) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (887) op(e1, e1) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (861), (862), (887), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (888) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (888) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (889) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (890) op(e0, e0) = e1
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (890), (function-axioms) are
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (891) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (891) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (892) ~ (all_57_20 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (893) op(e2, e1) = all_57_20
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (852)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_57_27 = all_52_11
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (840), (862)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_57_30 = e0
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (893)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_57_20 = all_52_9
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (883)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_57_17 = all_52_8
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (897) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (898) ~ (all_52_8 = e3)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (896) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (899) ~ (all_52_9 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (894) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (900) ~ (all_52_11 = e0)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (895) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | (901) ~ (e1 = e0)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (902) ~ (all_30_2 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (902) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (903) ~ (all_4_2 = e2)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_54_0 = e3
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (904) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_4_2 = e3
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (905) implies:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_4_2 = e3
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (906) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) ~ (all_52_3 = e3)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (906) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) ~ (all_52_12 = e3)
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (906) imply:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) op(e3, e3) = e3
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) ~ (all_32_2 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (910) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) ~ (all_6_2 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_54_15 = e3
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (911), (912) are inconsistent by sub-proof
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1608.
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) ~ (all_54_15 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_54_15 = e2
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (915) are inconsistent by sub-proof
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) ~ (all_54_15 = e2)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_54_15 = e1 | all_54_15 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (917) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_54_15 = e1
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (918) are inconsistent by sub-proof
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_54_15 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (919) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_6_2 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (920) implies:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_6_2 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (921) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_52_3 = e0)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (921) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) ~ (all_52_7 = e0)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (921) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) ~ (all_52_13 = e0)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (921) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (e2 = e0)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (921) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) op(e0, e0) = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (927) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_56_0 = e0 & op(e3, e3) = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (928) implies:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) op(e3, e3) = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (929), (function-axioms) are
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_56_2 = e0 & op(e2, e3) = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_56_2 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) op(e2, e3) = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (933) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_56_1 = e0 & op(e3, e2) = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (934) implies:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_56_1 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_54_9 = e3
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (936) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_52_6 = e3
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (937) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) ~ (all_52_2 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (937) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) ~ (all_52_7 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (939) implies:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) ~ (all_52_7 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (937) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) op(e1, e2) = e3
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_54_13 = e3
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (942) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_52_7 = e3
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (943) imply:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) $false
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (944) is inconsistent.
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) ~ (all_54_13 = e3)
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (946) gives:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) all_54_13 = e2
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (947) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_52_7 = e2
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (948) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) $false
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (949) is inconsistent.
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) ~ (all_54_13 = e2)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_54_13 = e1 | all_54_13 = e0
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) all_54_13 = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (952) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_52_7 = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (953) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) ~ (all_52_3 = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (953) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) ~ (all_52_11 = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (955) implies:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) ~ (all_52_11 = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (953) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) ~ (e3 = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (953) imply:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) ~ (e2 = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) all_54_12 = e3
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (907), (959) are inconsistent by sub-proof
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (873), (935), (961), (function-axioms)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1264.
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (962) gives:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_56_7 = e1 & op(e1, e2) = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (963) implies:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) op(e1, e2) = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (941), (964), (function-axioms) are
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_56_13 = e1 & op(e0, e2) = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (965) implies:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_56_13 = e1
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (168), (169), (898), (908), (932),
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967), (function-axioms) are inconsistent by
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1261.
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (968) gives:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (870), (893), (899), (969),
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (970) gives:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (971) implies:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) all_57_17 = e1
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) ~ (all_57_30 = e3)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) op(e1, e3) = e1
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (972) imply:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) all_52_8 = e1
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (975) imply:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) ~ (all_52_9 = e1)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (976) implies:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) ~ (all_52_9 = e1)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (975) imply:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) op(e3, e1) = e1
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_54_6 = e3
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (121), (139), (169), (190), (262), (264),
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (900), (922), (954), (960), (978), (979),
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1253.
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) ~ (all_54_6 = e3)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (980) imply:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) ~ (all_52_9 = e3)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (898), (981), (982),
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1345.
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (983) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_56_8 = e3 & op(e1, e1) = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (984) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) op(e1, e1) = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (985), (function-axioms) are
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_56_14 = e3 & op(e0, e1) = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_56_14 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (988) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_56_12 = e2 & op(e0, e3) = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (989) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_56_12 = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_54_6 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (121), (139), (169), (190), (262), (264),
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (900), (922), (954), (960), (978), (991),
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1253.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (36), (229), (386), (873),
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974), (990), (992), (function-axioms) are
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1248.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (993) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_56_5 = e3 & op(e2, e1) = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (994) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) op(e2, e1) = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (981), (995), (function-axioms) are
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_56_10 = e3 & op(e2, e0) = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_56_10 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (162), (165), (222), (227),
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869), (931), (935), (966), (977), (997),
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1244.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_56_13 = e2 & op(e0, e2) = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (998) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) op(e0, e2) = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (999), (function-axioms) are
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (987), (1000), (function-axioms)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1510.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) op(e1, e2) = e1
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (941), (1003), (function-axioms) are
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1004) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_54_12 = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (1006) imply:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_52_3 = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1007) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_52_3 = e2
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1008) imply:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) ~ (all_52_2 = e2)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1008) imply:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) ~ (all_52_11 = e2)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1010) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) ~ (all_52_11 = e2)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_54_8 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (938), (1012) are inconsistent by sub-proof
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1243.
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_54_14 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1014) imply:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_52_11 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1015) implies:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_52_11 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1016) imply:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_57_27 = e3
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1016) imply:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) ~ (all_52_9 = e3)
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_54_6 = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (1018), (1019) are inconsistent by
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) ~ (all_54_6 = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1021) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_54_6 = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (899), (1022) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1241.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_54_6 = e1 | all_54_6 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_54_6 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (1024) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_52_9 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1025) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_52_9 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1026) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) ~ (all_52_8 = e1)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1013) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_54_8 = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1009), (1028) are inconsistent by
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1240.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_54_8 = e1 | all_54_8 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1005) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1017), (1030) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1031) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) op(e0, e0) = all_57_31
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_54_8 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (1033) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_52_2 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1034) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_52_2 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1035) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) ~ (all_52_14 = e1)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1036) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) ~ (all_52_14 = e1)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (202), (286), (836), (898), (926), (1005),
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027), (1032), (1037), (function-axioms) are
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_54_8 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (834), (1038) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1236.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_54_6 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (837), (1039) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1235.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (900), (956), (1011), (1040) are
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1233.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_54_12 = e1 | all_54_12 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (922), (954), (1041) are inconsistent by
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1255.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_54_13 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1042) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_52_7 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (923), (1043) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) $false
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1044) is inconsistent.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) ~ (all_54_9 = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (1045) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_52_6 = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_56_6 = e3 & op(e1, e3) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (215),
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (386), (840), (869), (909),
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049), (function-axioms) are inconsistent by
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_56_7 = e3 & op(e1, e2) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1050) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) op(e1, e2) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_54_9 = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (869), (1052) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1323.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_54_9 = e1 | all_54_9 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (273), (835), (1047), (1051), (1053),
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1218.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_56_8 = e3 & op(e1, e1) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1055) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) op(e1, e1) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1056), (function-axioms) are
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_56_11 = e3 & op(e1, e0) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1057) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_56_11 = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_56_9 = e2 & op(e3, e0) = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1060) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_56_9 = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1062) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_56_9 = e1 & op(e3, e0) = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1063) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_56_9 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1061), (1064) are inconsistent by sub-proof
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1503.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_56_10 = e1 & op(e2, e0) = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_56_10 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (873), (932), (1067), (function-axioms)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1217.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1068) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_56_5 = e3 & op(e2, e1) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1069) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_56_5 = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) op(e2, e1) = e3
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (909), (931), (1072), (function-axioms)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1216.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_56_6 = e1 & op(e1, e3) = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1074) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_56_6 = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (840), (869), (1058),
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075), (function-axioms) are inconsistent by
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1214.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_56_12 = e1 & op(e0, e3) = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1076) implies:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) op(e0, e3) = e1
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) all_54_9 = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (1078) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_52_6 = e2
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1079) imply:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) $false
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1080) is inconsistent.
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) ~ (all_54_9 = e2)
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) all_54_9 = e1 | all_54_9 = e0
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_54_9 = e1
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (1083) imply:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_52_6 = e1
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1084) implies:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_52_6 = e1
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1085) imply:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_52_2 = e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1085) imply:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) ~ (all_52_14 = e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1087) implies:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) ~ (all_52_14 = e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1047), (1085) imply:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) ~ (e3 = e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1085) imply:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) ~ (e2 = e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (898), (932), (1092),
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1262.
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1093) gives:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1094) implies:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) op(e0, e3) = e3
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (1077), (1095), (function-axioms) are
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) op(e2, e3) = e2
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (873), (1066), (1070),
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097), (function-axioms) are inconsistent by
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1408.
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1099) gives:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1100) implies:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) op(e2, e1) = e2
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (39), (160), (210), (224),
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (873), (932), (1061), (1088), (1101),
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1212.
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1102) implies:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) op(e0, e2) = e2
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (1103), (function-axioms) are
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1104) gives:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1105) implies:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) op(e1, e3) = e1
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1086), (1106), (function-axioms) are
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (160), (164), (838), (924), (1071),
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077), (1088), (1107), (function-axioms) are
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1211.
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) all_54_9 = e0
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (835), (1108) are inconsistent by sub-proof
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1321.
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_56_10 = e3 & op(e2, e0) = e3
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1109) implies:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_56_10 = e3
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1066), (1110) imply:
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) e3 = e1
% 174.36/25.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1058), (1111) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_56_11 = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924), (1061), (1066), (1112), (function-axioms)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1205.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1113) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_56_11 = e1 & op(e1, e0) = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1114) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_56_11 = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1058), (1115) are inconsistent by sub-proof
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1209.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_56_15 = e1 & op(e0, e0) = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1116) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_56_15 = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (924), (1058),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061), (1117), (function-axioms) are inconsistent
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1201.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_56_10 = e2 & op(e2, e0) = e2
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) op(e2, e0) = e2
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (871), (1119), (function-axioms) are
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1562.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1058), (1120),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1200.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_56_3 = e0 & op(e2, e2) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1121) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) op(e2, e2) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (873), (1122), (function-axioms) are
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (835), (923), (1123),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1198.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_56_6 = e0 & op(e1, e3) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (834), (1125), (function-axioms) are
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1197.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_56_12 = e0 & op(e0, e3) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1126) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_56_12 = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) op(e0, e3) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (164), (165), (221),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (837), (873), (909), (924), (1127),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128), (function-axioms) are inconsistent by
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_32_2 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1129) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_6_2 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1130) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_6_2 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1131) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) ~ (all_52_11 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1131) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) op(e0, e0) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1134) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_56_4 = e3 & op(e3, e1) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) op(e3, e1) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (898), (1136), (function-axioms) are
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_56_5 = e3 & op(e2, e1) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1137) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) op(e2, e1) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_56_6 = e3 & op(e1, e3) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (215),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (386), (840), (869), (909),
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140), (function-axioms) are inconsistent by
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1219.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_56_7 = e3 & op(e1, e2) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_56_7 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) op(e1, e2) = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1144) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) ~ (all_26_0 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) op(e0, e0) = all_26_0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1133), (1145), (1146), (function-axioms) are
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1191.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1147) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_26_1 = e2)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) op(e0, e1) = all_26_1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e1, e0, simplifying with (157), (1149)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) all_52_11 = all_26_1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (1143) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_52_6 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (1138) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_52_9 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1150) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_54_14 = all_26_1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1150) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_57_27 = all_26_1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1150) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) ~ (all_52_3 = all_26_1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1151) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) ~ (all_52_7 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1156) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) ~ (all_52_7 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1150) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) ~ (all_52_7 = all_26_1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1132), (1150) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) ~ (all_26_1 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (1150) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) ~ (all_26_1 = e0)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) all_54_14 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1161) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_26_1 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1159), (1162) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) $false
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1163) is inconsistent.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) ~ (all_54_14 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1165) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_54_14 = e2
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1166) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_26_1 = e2
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1148), (1167) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) $false
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1168) is inconsistent.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) ~ (all_54_14 = e2)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_54_14 = e1 | all_54_14 = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_54_14 = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1171) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) all_26_1 = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1155), (1172) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) ~ (all_52_3 = e1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1172) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) ~ (all_52_7 = e1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1159), (1172) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) ~ (e3 = e1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1148), (1172) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) ~ (e2 = e1)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1149), (1172) imply:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) op(e0, e1) = e1
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_54_13 = e3
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1157), (1178) are inconsistent by
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_54_13 = e3)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1181) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_56_12 = e2 & op(e0, e3) = e2
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1182) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_56_12 = e2
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_56_15 = e0 & op(e0, e0) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1184) implies:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) op(e0, e0) = e0
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1133), (1185), (function-axioms) are
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1186) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1187) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_56_12 = e0 & op(e0, e3) = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1189) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_56_12 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1183), (1190) are inconsistent by sub-proof
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_56_13 = e0 & op(e0, e2) = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1192) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_56_13 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1194) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_56_1 = e1 & op(e3, e2) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1195) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_56_1 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_56_0 = e0 & op(e3, e3) = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1198) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) op(e3, e3) = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (1199), (function-axioms) are
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_56_2 = e0 & op(e2, e3) = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1200) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_56_2 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_56_0 = e1 & op(e3, e3) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) op(e3, e3) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (1196), (1204),
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_56_2 = e1 & op(e2, e3) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1205) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_56_2 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1201), (1206) are inconsistent by sub-proof
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1535.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1207) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_56_6 = e1 & op(e1, e3) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1208) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) op(e1, e3) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (873), (1201), (1210), (function-axioms)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1404.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_56_5 = e1 & op(e2, e1) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1212) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) op(e2, e1) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1138), (1213), (function-axioms) are
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_56_10 = e1 & op(e2, e0) = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1214) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_56_10 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_54_13 = e2
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (870), (1216) are inconsistent by sub-proof
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1185.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) ~ (all_54_13 = e2)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_54_13 = e1 | all_54_13 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_54_13 = e1
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1174), (1219) are inconsistent by
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1313.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_54_13 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1220) imply:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_52_7 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1221) implies:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_52_7 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1222) imply:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) ~ (all_52_3 = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1222) imply:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) ~ (e2 = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_54_12 = e3
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (907), (1225) are inconsistent by sub-proof
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1229) implies:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) op(e2, e3) = e3
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (1183), (1209),
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230), (function-axioms) are inconsistent by
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1231) implies:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) op(e3, e1) = e3
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (898), (1232), (function-axioms) are
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1234) implies:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) op(e3, e0) = e3
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (838), (1188), (1215), (1235),
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1182.
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1236) implies:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) op(e2, e3) = e2
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (36), (229), (386), (1183), (1209),
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237), (function-axioms) are inconsistent by
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1180.
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (870), (893), (899), (1239),
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1241) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) op(e3, e1) = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (900),
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132), (1173), (1223), (1226), (1242),
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (190), (895), (1138), (1148), (1149), (1153),
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154), (1159), (1160), (1243), (function-axioms)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1174.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_56_12 = e1 & op(e0, e3) = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1244) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_56_12 = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1183), (1245) are inconsistent by sub-proof
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1383.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (834), (1183), (1246),
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1173.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_56_3 = e1 & op(e2, e2) = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1247) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) op(e2, e2) = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (873), (1248), (function-axioms) are
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1249) gives:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_56_7 = e1 & op(e1, e2) = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1250) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_56_7 = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1142), (1251) are inconsistent by sub-proof
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1172.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_56_13 = e1 & op(e0, e2) = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1252) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_56_13 = e1
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1193), (1253) imply:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) e1 = e0
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1254) imply:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) $false
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1255) is inconsistent.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_56_14 = e0 & op(e0, e1) = e0
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1256) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) op(e0, e1) = e0
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1177), (1257), (function-axioms) are
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1171.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_56_13 = e2 & op(e0, e2) = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1258) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) op(e0, e2) = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (1259), (function-axioms) are
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_56_14 = e2 & op(e0, e1) = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1261) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) op(e0, e1) = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1148), (1149), (1262), (function-axioms) are
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1170.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_56_15 = e2 & op(e0, e0) = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) op(e0, e0) = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1264), (function-axioms) are
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_54_14 = e0
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1265) imply:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_26_1 = e0
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1160), (1266) imply:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) $false
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1267) is inconsistent.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_56_8 = e3 & op(e1, e1) = e3
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1269) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) op(e1, e1) = e3
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1270), (function-axioms) are
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_56_11 = e3 & op(e1, e0) = e3
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1271) implies:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_56_11 = e3
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_56_6 = e2 & op(e1, e3) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1274) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_56_6 = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1276) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_56_9 = e2 & op(e3, e0) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1277) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_56_9 = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1279) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_56_0 = e0 & op(e3, e3) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1280) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) op(e3, e3) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (1281), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_56_1 = e0 & op(e3, e2) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1282) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_56_1 = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1284) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) ~ (all_26_0 = e3)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) op(e0, e0) = all_26_0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1133), (1285), (1286), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1191.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1287) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) ~ (all_26_1 = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) op(e0, e1) = all_26_1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1290) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_56_0 = e1 & op(e3, e3) = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1291) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) op(e3, e3) = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (909), (1292), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_56_1 = e1 & op(e3, e2) = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1283), (1293) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1169.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_56_4 = e1 & op(e3, e1) = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1295) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_56_4 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_56_4 = e2 & op(e3, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1298) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_56_4 = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1296), (1299) imply:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) e2 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1300) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) e2 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1275), (1301) imply:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_56_6 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (840), (869), (1272),
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302), (function-axioms) are inconsistent by
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1214.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_56_5 = e2 & op(e2, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1303) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) op(e2, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (893), (899), (1304), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_56_8 = e2 & op(e1, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1306) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) op(e1, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (835), (1275), (1307), (function-axioms)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1161.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_56_14 = e2 & op(e0, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1308) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) op(e0, e1) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1288), (1289), (1309), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1170.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) all_56_9 = e1 & op(e3, e0) = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1310) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_56_9 = e1
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1276) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1278), (1311) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1503.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_56_10 = e2 & op(e2, e0) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1312) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_56_10 = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_56_15 = e0 & op(e0, e0) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) op(e0, e0) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1133), (1315), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1316) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1317) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1311), (1318) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1505.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1319) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_56_10 = e0 & op(e2, e0) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1313), (1320) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1160.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_56_11 = e0 & op(e1, e0) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1272), (1321) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1203.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1272), (1322),
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1158.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1323) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_56_4 = e0 & op(e3, e1) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) op(e3, e1) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (836), (883), (1325), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1278), (1326) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1574.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_56_10 = e2 & op(e2, e0) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1327) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) op(e2, e0) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (871), (1328), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1562.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1272), (1329),
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1158.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_56_7 = e2 & op(e1, e2) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1330) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) op(e1, e2) = e2
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (869), (1331), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (840), (1272), (1332), (function-axioms)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1156.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1333) gives:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_56_8 = e3 & op(e1, e1) = e3
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1334) implies:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) op(e1, e1) = e3
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1335), (function-axioms) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_56_14 = e3 & op(e0, e1) = e3
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (387), (389), (1133), (1336),
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1153.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (397), (903), (1337) are
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 174.78/26.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_30_2 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1338) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_4_2 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1339) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) ~ (all_52_8 = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1339) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) op(e3, e3) = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (386), (871), (1341), (1342),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1561.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1343) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_56_11 = e2 & op(e1, e0) = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1344) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_56_11 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) op(e1, e0) = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (386), (870), (1341), (1347),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_56_14 = e2 & op(e0, e1) = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1349) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_56_14 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_54_2 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1351) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_52_8 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1352) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) $false
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1353) is inconsistent.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) ~ (all_54_2 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1355) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_54_2 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1356) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_52_8 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1357) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) $false
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1358) is inconsistent.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) ~ (all_54_2 = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_54_2 = e1 | all_54_2 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1361) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_56_4 = e3 & op(e3, e1) = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1362) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) op(e3, e1) = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (898), (1363), (function-axioms) are
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_56_5 = e3 & op(e2, e1) = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) op(e2, e1) = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_54_2 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1366) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_52_8 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (1367) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_57_17 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1367) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) ~ (all_52_9 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1369) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) ~ (all_52_9 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1367) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) ~ (all_52_11 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1371) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) ~ (all_52_11 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1367) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) ~ (e3 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1367) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) ~ (e2 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1375) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_56_0 = e1 & op(e3, e3) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) op(e3, e3) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1341), (1377), (function-axioms) are
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_56_1 = e1 & op(e3, e2) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_56_1 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) op(e3, e2) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (1379), (1381),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1152.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_56_4 = e0 & op(e3, e1) = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) op(e3, e1) = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (836), (883), (1384), (function-axioms) are
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (898), (1341),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380), (1385), (function-axioms) are inconsistent
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1151.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1386) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_56_4 = e1 & op(e3, e1) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1387) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_56_4 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) op(e3, e1) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_54_6 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (1390) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_52_9 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1391) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_52_9 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1392) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_52_11 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) ~ (all_52_11 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1392) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) ~ (all_52_13 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) ~ (all_52_13 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_54_14 = e3
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1394), (1397) are inconsistent by
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1259.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) ~ (all_54_14 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1399) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_54_14 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1400) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_52_11 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_52_11 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1402) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_57_27 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1402) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) op(e0, e1) = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1405) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) ~ (all_26_0 = e3)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) op(e0, e0) = all_26_0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1408) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_56_9 = e1 & op(e3, e0) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1409) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_56_9 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (230), (236), (386),
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341), (1388), (1389), (1410), (function-axioms)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1149.
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_56_10 = e1 & op(e2, e0) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1411) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_56_10 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) op(e2, e0) = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1414) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_56_2 = e0 & op(e2, e3) = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1415) implies:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) op(e2, e3) = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0, e0, e0, simplifying with (39), (1407)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_26_0 = all_6_2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1346) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_52_14 = e2
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (1413) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_52_13 = e1
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (1416) gives:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_52_1 = e0
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (1419) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (all_6_2 = e1)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1418) imply:
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) ~ (all_6_2 = e2)
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1406), (1417) imply:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) ~ (all_6_2 = e3)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1424) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_56_9 = e3 & op(e3, e0) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1425) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) op(e3, e0) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_54_15 = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1423), (1427) are inconsistent by
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) ~ (all_54_15 = e3)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_54_15 = e2
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (1430) are inconsistent by sub-proof
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) ~ (all_54_15 = e2)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_54_15 = e1 | all_54_15 = e0
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_54_15 = e1
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (1433) are inconsistent by sub-proof
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_54_15 = e0
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1434) imply:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_6_2 = e0
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1435) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_6_2 = e0
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1436) imply:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) ~ (all_52_7 = e0)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (1436) imply:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) ~ (e2 = e0)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (873), (1341), (1439), (function-axioms) are
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1542.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & $i(all_57_28))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1440) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_57_30 = e3 & op(e1, e1) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) op(e1, e1) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1442), (function-axioms) are
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_57_31 = e3 & op(e0, e0) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) op(e0, e0) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (1423), (1432), (1445),
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1446) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) ~ (all_57_28 = e3)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) op(e3, e3) = all_57_28
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (873), (1447), (1448), (1449),
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1538.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_22 & $i(all_57_22))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_57_30 = e3 & op(e1, e1) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1451) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) op(e1, e1) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1452), (function-axioms) are
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1453) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_57_31 = e3 & op(e0, e0) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1454) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) op(e0, e0) = e3
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (1423), (1432), (1455),
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (all_57_22 = e1)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1458) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (898), (1416), (1459),
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1262.
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1460) gives:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) ~ (all_57_2 = e1)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) op(e3, all_57_17) = all_57_2
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1368), (1463) imply:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) op(e3, e1) = all_57_2
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1389), (1464) gives:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_57_2 = e1
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1462), (1465) imply:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) $false
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1466) is inconsistent.
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1467) implies:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) op(e2, e3) = e2
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1416), (1468), (function-axioms) are
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1469) gives:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1470) gives:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1471) implies:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) op(e2, e1) = e2
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (198), (262), (276), (837), (900),
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372), (1399), (1472), (function-axioms) are
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1144.
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1473) implies:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) op(e0, e2) = e2
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (1474), (function-axioms) are
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1475) gives:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1476) implies:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_57_22 = e1
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1457), (1477) imply:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) $false
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1478) is inconsistent.
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1480) implies:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) op(e2, e1) = e1
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1365), (1481), (function-axioms) are
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1482) implies:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_57_27 = e1
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1403), (1485) imply:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) e2 = e1
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1486) imply:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) $false
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1487) is inconsistent.
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1488) implies:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) ~ (all_57_15 = e0)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) op(e0, e0) = all_57_31
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) op(e0, e2) = all_57_26
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) op(e0, all_57_31) = all_57_15
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (160), (838), (1426), (1437), (1489),
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490), (1491), (1492), (1493), (function-axioms)
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1142.
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_56_10 = e3 & op(e2, e0) = e3
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1412), (1494) are inconsistent by sub-proof
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1141.
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1495) gives:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_56_11 = e3 & op(e1, e0) = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1345), (1496) are inconsistent by sub-proof
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1494.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_56_15 = e3 & op(e0, e0) = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1497) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) op(e0, e0) = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1406), (1407), (1498), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1191.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_56_3 = e0 & op(e2, e2) = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1499) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) op(e2, e2) = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (873), (1500), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (837), (1412), (1501),
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (1345), (1502),
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1139.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1503) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) ~ (all_26_1 = e2)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) op(e0, e1) = all_26_1
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1404), (1504), (1505), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1170.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_54_14 = e1 | all_54_14 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (900), (1372), (1506) are inconsistent by
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1305.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) ~ (all_54_6 = e3)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (1507) imply:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) ~ (all_52_9 = e3)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1365), (1508), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_56_9 = e1 & op(e3, e0) = e1
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1509) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_56_9 = e1
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (169), (236), (386), (898),
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341), (1510), (1511), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1137.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_56_4 = e0 & op(e3, e1) = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1513) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) op(e3, e1) = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (836), (883), (1514), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1515) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_56_9 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1510), (1516) are inconsistent by sub-proof
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1484.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_54_2 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1517) imply:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_52_8 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (1518) imply:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) $false
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1519) is inconsistent.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_56_8 = e3 & op(e1, e1) = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1521) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) op(e1, e1) = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1522), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_56_14 = e3 & op(e0, e1) = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1523) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_56_14 = e3
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1350), (1524) are inconsistent by sub-proof
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1512.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_56_15 = e2 & op(e0, e0) = e2
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1525) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) op(e0, e0) = e2
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1526), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_56_15 = e2 & op(e0, e0) = e2
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1527) implies:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) op(e0, e0) = e2
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1528), (function-axioms) are
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | (1529) all_54_5 = e1 | all_54_5 = e0
% 174.78/26.08 | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (842), (1529) are inconsistent by
% 174.78/26.08 | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 174.78/26.08 | | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | End of split
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | (1530) all_28_2 = e1
% 174.78/26.08 | | | | | | | | | | | (1531) ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 174.78/26.08 | | | | | | | | | | | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2)
% 174.78/26.08 | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | COMBINE_EQS: (329), (1530) imply:
% 174.78/26.08 | | | | | | | | | | | (1532) all_10_2 = e1
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (365), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1533) ~ (all_52_4 = e1)
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (367), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1534) ~ (all_52_6 = e1)
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (369), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1535) ~ (all_52_7 = e1)
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (371), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1536) ~ (all_52_9 = e1)
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (373), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1537) ~ (all_52_13 = e1)
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (390), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1538) ~ (e3 = e1)
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | REDUCE: (45), (1532) imply:
% 174.78/26.08 | | | | | | | | | | | (1539) op(e2, e2) = e1
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | BETA: splitting (1531) gives:
% 174.78/26.08 | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | (1540) ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 174.78/26.08 | | | | | | | | | | | | $i(all_28_0)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | ALPHA: (1540) implies:
% 174.78/26.08 | | | | | | | | | | | | (1541) ~ (all_28_0 = e0)
% 174.78/26.08 | | | | | | | | | | | | (1542) op(e1, e1) = all_28_0
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_28_0,
% 174.78/26.08 | | | | | | | | | | | | e1, e1, simplifying with (840), (1542) gives:
% 174.78/26.08 | | | | | | | | | | | | (1543) all_28_0 = e0
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (1541), (1543) imply:
% 174.78/26.08 | | | | | | | | | | | | (1544) $false
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | CLOSE: (1544) is inconsistent.
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | (1545) ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 174.78/26.08 | | | | | | | | | | | | $i(all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | ALPHA: (1545) implies:
% 174.78/26.08 | | | | | | | | | | | | (1546) ~ (all_28_1 = e3)
% 174.78/26.08 | | | | | | | | | | | | (1547) op(e1, e2) = all_28_1
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 174.78/26.08 | | | | | | | | | | | | all_28_1, e2, e1, simplifying with (162), (1547)
% 174.78/26.08 | | | | | | | | | | | | gives:
% 174.78/26.08 | | | | | | | | | | | | (1548) all_52_6 = all_28_1
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | COMBINE_EQS: (273), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1549) all_54_9 = all_28_1
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (143), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1550) ~ (all_52_2 = all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (136), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1551) ~ (all_52_4 = all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (128), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1552) ~ (all_52_7 = all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | SIMP: (1552) implies:
% 174.78/26.08 | | | | | | | | | | | | (1553) ~ (all_52_7 = all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (126), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1554) ~ (all_52_14 = all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | SIMP: (1554) implies:
% 174.78/26.08 | | | | | | | | | | | | (1555) ~ (all_52_14 = all_28_1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (1534), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1556) ~ (all_28_1 = e1)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | REDUCE: (835), (1548) imply:
% 174.78/26.08 | | | | | | | | | | | | (1557) ~ (all_28_1 = e0)
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | BETA: splitting (195) gives:
% 174.78/26.08 | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | (1558) all_54_9 = e3
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | COMBINE_EQS: (1549), (1558) imply:
% 174.78/26.08 | | | | | | | | | | | | | (1559) all_28_1 = e3
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | REDUCE: (1546), (1559) imply:
% 174.78/26.08 | | | | | | | | | | | | | (1560) $false
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | CLOSE: (1560) is inconsistent.
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | Case 2:
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | (1561) ~ (all_54_9 = e3)
% 174.78/26.08 | | | | | | | | | | | | | (1562) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | BETA: splitting (1562) gives:
% 174.78/26.08 | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | Case 1:
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | (1563) all_54_9 = e2
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | COMBINE_EQS: (1549), (1563) imply:
% 174.78/26.08 | | | | | | | | | | | | | | (1564) all_28_1 = e2
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | REDUCE: (1550), (1564) imply:
% 174.78/26.08 | | | | | | | | | | | | | | (1565) ~ (all_52_2 = e2)
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | REDUCE: (1551), (1564) imply:
% 174.78/26.08 | | | | | | | | | | | | | | (1566) ~ (all_52_4 = e2)
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | REDUCE: (1553), (1564) imply:
% 174.78/26.08 | | | | | | | | | | | | | | (1567) ~ (all_52_7 = e2)
% 174.78/26.08 | | | | | | | | | | | | | |
% 174.78/26.08 | | | | | | | | | | | | | | REDUCE: (1555), (1564) imply:
% 175.09/26.08 | | | | | | | | | | | | | | (1568) ~ (all_52_14 = e2)
% 175.09/26.08 | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | REDUCE: (1546), (1564) imply:
% 175.09/26.08 | | | | | | | | | | | | | | (1569) ~ (e3 = e2)
% 175.09/26.08 | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 175.09/26.08 | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | Case 1:
% 175.09/26.08 | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | (1570) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 175.09/26.08 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 175.09/26.08 | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (1539), (1566), (1570),
% 175.09/26.08 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.08 | | | | | | | | | | | | | | | #1136.
% 175.09/26.08 | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | Case 2:
% 175.09/26.08 | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | (1571) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 175.09/26.08 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.08 | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | BETA: splitting (1571) gives:
% 175.09/26.08 | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | Case 1:
% 175.09/26.08 | | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | | (1572) all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.08 | | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | | ALPHA: (1572) implies:
% 175.09/26.08 | | | | | | | | | | | | | | | | (1573) all_56_7 = e2
% 175.09/26.08 | | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 175.09/26.08 | | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.08 | | | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | | | (1574) ~ (all_30_2 = e2)
% 175.09/26.08 | | | | | | | | | | | | | | | | |
% 175.09/26.08 | | | | | | | | | | | | | | | | | REDUCE: (343), (1574) imply:
% 175.09/26.08 | | | | | | | | | | | | | | | | | (1575) ~ (all_4_2 = e2)
% 175.09/26.08 | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | (1576) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 175.09/26.09 | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (204), (294), (386), (397), (1539),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | (1575), (1576), (function-axioms) are inconsistent
% 175.09/26.09 | | | | | | | | | | | | | | | | | | by sub-proof #1349.
% 175.09/26.09 | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | (1577) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 175.09/26.09 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 175.09/26.09 | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | (1578) all_57_30 = e2 & op(e1, e1) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | (1579) op(e1, e1) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (840), (1579), (function-axioms) are
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | (1580) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | (1581) all_57_31 = e2 & op(e0, e0) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (1581) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | (1582) op(e0, e0) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1582), (function-axioms) are
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | (1583) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (1583) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | (1584) ~ (all_57_23 = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1585) all_54_0 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1585) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1586) all_4_2 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (1586) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1587) ~ (all_52_2 = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (1586) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1588) ~ (all_52_3 = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (1586) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_52_4 = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1586) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1590) ~ (all_52_8 = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (1586) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1591) ~ (all_52_12 = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1586) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | (1592) op(e3, e3) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | (1593) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1593) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1594) all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1594) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1595) all_56_6 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1596) op(e1, e3) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (1597) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (1539), (1589), (1597),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | #1135.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (1598) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1598) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1599) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | #1134.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1600) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_56_13 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1602) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_56_12 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) op(e0, e3) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (229), (233),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (1592), (1595), (1596), (1604), (1605),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_56_13 = e1 & op(e0, e2) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1606) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_56_13 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1601), (1607) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_56_14 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1612) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_56_12 = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (386), (1592), (1595), (1596), (1613),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1220.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) op(e0, e2) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1615), (function-axioms) are
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (1610), (1616),
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1132.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_56_15 = e1 & op(e0, e0) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1617) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) op(e0, e0) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (1618), (function-axioms) are
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1619) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1619) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1620) all_56_7 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1620) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | #1430.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | (1621) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1622) all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1622) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1623) op(e1, e1) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1623), (function-axioms) are
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1624) all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1624) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | (1625) all_56_11 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_54_8 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1587), (1626) are inconsistent by
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (1627) ~ (all_54_8 = e3)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | (1629) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1630) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_56_9 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_54_1 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1632) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_52_4 = e3
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1589), (1633) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) $false
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1634) is inconsistent.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1637) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_56_9 = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1631), (1638) are inconsistent by sub-proof
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1503.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1639) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_56_10 = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1641) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1642) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) op(e2, e3) = e0
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_54_8 = e2
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1565), (1644) are inconsistent by
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1240.
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_54_8 = e1 | all_54_8 = e0
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_54_8 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (1646) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_52_2 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1647) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_52_2 = e1
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1648) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) ~ (all_52_3 = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1649) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (all_52_3 = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1648) imply:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_52_14 = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1651) implies:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) ~ (all_52_14 = e1)
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (168), (169), (1590), (1591), (1643),
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653), (function-axioms) are inconsistent by
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1261.
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1654) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_57_23 = e2
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) ~ (all_57_29 = e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) op(e2, e1) = e2
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_57_28 = e1 & op(e3, e3) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1661) implies:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) op(e3, e3) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1592), (1662), (function-axioms) are
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_57_29 = e1 & op(e2, e2) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1663) implies:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_57_29 = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1658), (1664) imply:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) $false
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1665) is inconsistent.
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1667) implies:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) op(e1, e1) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (840), (1668), (function-axioms) are
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1669) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1670) implies:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) op(e0, e0) = e1
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (1671), (function-axioms) are
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1672) implies:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) ~ (all_57_30 = e1)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) op(e1, e1) = all_57_30
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (1566), (1592), (1675),
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1131.
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1676) gives:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1677) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_56_4 = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_56_1 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (232),
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (386), (397), (1592), (1631), (1678),
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681), (function-axioms) are inconsistent by
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1124.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1682) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) op(e2, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1539), (1683), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1685) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_56_7 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1686) are inconsistent by sub-proof
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1430.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1687) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_56_13 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) all_56_4 = e1 & op(e3, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1678), (1690) are inconsistent by sub-proof
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_56_5 = e1 & op(e2, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) op(e2, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1659), (1692), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1694) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) op(e1, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1673), (1674), (1695), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_56_14 = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1698) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1699) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_56_12 = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1702) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_56_2 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) op(e2, e3) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (386), (1592), (1700), (1703), (1704),
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1123.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1705) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) op(e2, e2) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1539), (1706), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1707) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1708) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) op(e2, e1) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1659), (1709), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1710) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_56_10 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1640), (1711) imply:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) e3 = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1688), (1712) imply:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_56_13 = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (387), (1700), (1713), (function-axioms)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1119.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1714) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) op(e0, e2) = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1715), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (1697), (1716),
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1117.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1631), (1717) are inconsistent by sub-proof
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1129.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) op(e0, e2) = e2
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1719), (function-axioms) are
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1720) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) op(e3, e1) = e1
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_54_11 = e3
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (1723) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_52_14 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1724) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_52_14 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1725) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) ~ (all_6_2 = e3)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1726) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) ~ (all_6_2 = e3)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_54_15 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1727), (1728) are inconsistent by
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_54_15 = e2
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (1730) are inconsistent by sub-proof
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_54_15 = e1 | all_54_15 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1731) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_54_15 = e1
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (1732) are inconsistent by sub-proof
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_54_15 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1733) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_6_2 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1734) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_6_2 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1735) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) ~ (all_52_3 = e0)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1735) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) ~ (all_52_7 = e0)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1735) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) ~ (all_52_11 = e0)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_54_12 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1588), (1739) are inconsistent by
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_54_13 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1741) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_52_7 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1742) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_52_7 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1743) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) ~ (all_52_11 = e3)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1744) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) ~ (all_52_11 = e3)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (1650),
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722), (1736), (1738), (1740), (1745),
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1535), (1567), (1737), (1746) are
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (838), (1568), (1652), (1747) are
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1112.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1748) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1749) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) op(e2, e1) = e1
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1536), (1750), (function-axioms) are
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1751) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1752) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1753) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) op(e1, e0) = e1
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1652), (1754), (function-axioms) are
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1755) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) op(e0, e0) = all_57_31
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_54_11 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (1757) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_52_14 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1758) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_52_14 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1759) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_6_2 = e3)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1760) implies:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_6_2 = e3)
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_54_15 = e3
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1761), (1762) are inconsistent by
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1635) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_54_1 = e2
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1764) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_52_4 = e2
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1566), (1765) imply:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent.
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_54_1 = e1 | all_54_1 = e0
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_54_1 = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1768) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_52_4 = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1533), (1769) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) $false
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1770) is inconsistent.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_54_1 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1771) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_52_4 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1772) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) ~ (all_52_7 = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) ~ (all_52_7 = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1772) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_52_8 = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_54_13 = e3
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1776) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_52_7 = e3
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_52_7 = e3
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1778) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) ~ (all_52_11 = e3)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1779) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) ~ (all_52_11 = e3)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_54_15 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (1781) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_54_15 = e1 | all_54_15 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_54_15 = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (1783) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_54_15 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1784) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_6_2 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1785) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_6_2 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1786) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_52_3 = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1786) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) ~ (all_52_11 = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1786) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) op(e0, e0) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_54_12 = e3
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1588), (1790) are inconsistent by
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_54_12 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (1792) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_52_3 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1793) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_52_3 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1794) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_52_11 = e2)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) ~ (all_52_11 = e2)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_54_14 = e3
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1780), (1797) are inconsistent by
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1259.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_54_14 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1796), (1799) are inconsistent by
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1234.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_54_14 = e1 | all_54_14 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_54_14 = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1801) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_52_11 = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1802) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_52_11 = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1803) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_52_8 = e1)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (202), (286), (836), (1590), (1652),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752), (1756), (1789), (1804), (function-axioms)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1237.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_54_14 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1788), (1805) are inconsistent by
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1306.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_54_12 = e1 | all_54_12 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1650), (1787), (1806) are inconsistent by
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1255.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1535), (1567), (1774), (1807) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (838), (1568), (1652), (1808) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1112.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_54_8 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (834), (1809) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1236.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1810) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) op(e2, e2) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1539), (1811), (function-axioms) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (837), (1813), (function-axioms) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1640), (1814) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1160.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1625), (1815),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1158.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1816) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) op(e2, e0) = e1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1537), (1817), (function-axioms) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | (1818) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (1625), (1818),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | (1819) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (397), (1575), (1819) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | (1820) all_30_2 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | (1821) ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 175.09/26.13 | | | | | | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3)
% 175.09/26.13 | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1820) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | (1822) all_4_2 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | SIMP: (1822) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | (1823) all_4_2 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | REDUCE: (36), (1823) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | (1824) op(e3, e3) = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | (1825) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | (231), (235), (386), (1567), (1824), (1825),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | #1543.
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | (1826) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | BETA: splitting (1826) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | (1827) all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | ALPHA: (1827) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | (1828) all_56_14 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | (1829) ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1539), (1829), (function-axioms) are inconsistent
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | by sub-proof #1292.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (1830) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_30_1 = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | (1832) op(e2, e3) = all_30_1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | (1833) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | (1834) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | (232), (236), (386), (1824), (1834),
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | #1563.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | (1835) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1835) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | (1836) all_56_10 = e2
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | (1837) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1837) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1838) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1839) op(e2, e3) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (1839) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_52_1 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e3, e2, simplifying with (167), (1832)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_52_1 = all_30_1
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1840), (1841) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_30_1 = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1831), (1842) imply:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1843) $false
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1843) is inconsistent.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1844) implies:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1845) op(e2, e2) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1539), (1845), (function-axioms) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | (1846) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (837), (1847), (function-axioms) are
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1836), (1848) are inconsistent by sub-proof
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | | #1160.
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | (1849) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | (1850) all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1850) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | (1851) all_56_11 = e2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | (1852) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1853) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_56_9 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1855) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1855) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1856) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) op(e1, e3) = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1858) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_56_4 = e1 & op(e3, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1859) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_56_4 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) op(e3, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (230), (236), (386),
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824), (1854), (1860), (1861), (function-axioms)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1149.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_56_5 = e1 & op(e2, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) op(e2, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1536), (1863), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1864) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1865) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) op(e1, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (835), (1851),
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857), (1866), (function-axioms) are inconsistent
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1109.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1828), (1867) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1459.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1868) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_56_7 = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1869) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #1430.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | (1870) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1870) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1871) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) op(e1, e1) = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1872), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1873) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_56_11 = e3
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1851), (1874) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #1482.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1875) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | (1876) op(e2, e0) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1537), (1876), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | (1877) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (1851), (1877),
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | | #1107.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | (1878) all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1878) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | (1879) op(e0, e0) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1879), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1880) all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | ALPHA: (1880) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1881) op(e0, e0) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1881), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | (1882) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | ALPHA: (1882) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | (1883) op(e0, e2) = e2
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1883), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | (1884) all_54_9 = e1 | all_54_9 = e0
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | REF_CLOSE: (273), (835), (1534), (1884) are inconsistent by
% 175.09/26.14 | | | | | | | | | | | | | | sub-proof #1320.
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | End of split
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | (1885) all_18_2 = e1
% 175.09/26.14 | | | | | | | | | (1886) ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 175.09/26.14 | | | | | | | | | $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3) =
% 175.09/26.14 | | | | | | | | | all_18_1 & $i(all_18_1))
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | COMBINE_EQS: (342), (1885) imply:
% 175.09/26.14 | | | | | | | | | (1887) all_4_2 = e1
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | SIMP: (1887) implies:
% 175.09/26.14 | | | | | | | | | (1888) all_4_2 = e1
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | REDUCE: (351), (1888) imply:
% 175.09/26.14 | | | | | | | | | (1889) ~ (all_52_1 = e1)
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | REDUCE: (353), (1888) imply:
% 175.09/26.14 | | | | | | | | | (1890) ~ (all_52_2 = e1)
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | REDUCE: (355), (1888) imply:
% 175.09/26.14 | | | | | | | | | (1891) ~ (all_52_3 = e1)
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | REDUCE: (359), (1888) imply:
% 175.09/26.14 | | | | | | | | | (1892) ~ (all_52_8 = e1)
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | REDUCE: (36), (1888) imply:
% 175.09/26.14 | | | | | | | | | (1893) op(e3, e3) = e1
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | BETA: splitting (70) gives:
% 175.09/26.14 | | | | | | | | |
% 175.09/26.14 | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | (1894) ~ (all_26_2 = e0)
% 175.09/26.14 | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | REDUCE: (318), (1894) imply:
% 175.09/26.14 | | | | | | | | | | (1895) ~ (all_14_2 = e0)
% 175.09/26.14 | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | BETA: splitting (238) gives:
% 175.09/26.14 | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | (1896) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.14 | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (1896),
% 175.09/26.14 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | #1622.
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | (1897) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 175.09/26.14 | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | BETA: splitting (1897) gives:
% 175.09/26.14 | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | (1898) all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (393), (395), (1895), (1898),
% 175.09/26.14 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | | #1616.
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | (1899) op(e0, e0) = all_57_31 & $i(all_57_31)
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | ALPHA: (1899) implies:
% 175.09/26.14 | | | | | | | | | | | | (1900) op(e0, e0) = all_57_31
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | BETA: splitting (194) gives:
% 175.09/26.14 | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | (1901) all_54_10 = e3
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | COMBINE_EQS: (349), (1901) imply:
% 175.09/26.14 | | | | | | | | | | | | | (1902) all_14_2 = e3
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | REDUCE: (395), (1902) imply:
% 175.09/26.14 | | | | | | | | | | | | | (1903) $false
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | CLOSE: (1903) is inconsistent.
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | (1904) ~ (all_54_10 = e3)
% 175.09/26.14 | | | | | | | | | | | | | (1905) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 175.09/26.14 | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | (1906) all_54_10 = e2
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | COMBINE_EQS: (349), (1906) imply:
% 175.09/26.14 | | | | | | | | | | | | | | (1907) all_14_2 = e2
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | REDUCE: (393), (1907) imply:
% 175.09/26.14 | | | | | | | | | | | | | | (1908) $false
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | CLOSE: (1908) is inconsistent.
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | (1909) ~ (all_54_10 = e2)
% 175.09/26.14 | | | | | | | | | | | | | | (1910) all_54_10 = e1 | all_54_10 = e0
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 175.09/26.14 | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | (1911) all_54_10 = e1
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1911) imply:
% 175.09/26.14 | | | | | | | | | | | | | | | (1912) all_14_2 = e1
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | REDUCE: (379), (1912) imply:
% 175.09/26.14 | | | | | | | | | | | | | | | (1913) ~ (all_52_11 = e1)
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | REDUCE: (381), (1912) imply:
% 175.09/26.14 | | | | | | | | | | | | | | | (1914) ~ (all_52_14 = e1)
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | REDUCE: (395), (1912) imply:
% 175.09/26.14 | | | | | | | | | | | | | | | (1915) ~ (e3 = e1)
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | REDUCE: (393), (1912) imply:
% 175.09/26.14 | | | | | | | | | | | | | | | (1916) ~ (e2 = e1)
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | REDUCE: (51), (1912) imply:
% 175.09/26.14 | | | | | | | | | | | | | | | (1917) op(e1, e1) = e1
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 175.09/26.14 | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | (1918) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 175.09/26.14 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | BETA: splitting (1918) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | (1919) all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1891), (1919), (function-axioms) are
% 175.09/26.14 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | (1920) all_56_13 = e1 & op(e0, e2) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | ALPHA: (1920) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | (1921) all_56_13 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | (1922) op(e0, e2) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | (1923) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.14 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 175.09/26.14 | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1924) all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | ALPHA: (1924) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1925) all_56_9 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (234), (236), (386), (1893), (1925),
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | #1103.
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1926) all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | ALPHA: (1926) implies:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1927) all_56_10 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1928) op(e2, e0) = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (1900)
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1929) all_57_31 = all_6_2
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1922) gives:
% 175.09/26.14 | | | | | | | | | | | | | | | | | | | (1930) all_52_7 = e1
% 175.09/26.14 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (1928) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1931) all_52_13 = e1
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1930) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1932) ~ (all_52_4 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1930) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1933) ~ (all_52_6 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1930) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1934) ~ (all_52_11 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1931) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1935) ~ (all_52_9 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1931) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1936) ~ (all_52_12 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1931) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1937) ~ (all_52_14 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1931) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1938) ~ (all_10_2 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | SIMP: (1938) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1939) ~ (all_10_2 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | REDUCE: (384), (1931) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | (1940) ~ (all_6_2 = e1)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | (1941) all_54_5 = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (1941) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | (1942) all_10_2 = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1942) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | (1943) $false
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | CLOSE: (1943) is inconsistent.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | (1944) ~ (all_54_5 = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | (1945) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1945) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | (1946) all_54_5 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (1946) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | (1947) all_10_2 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1947) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | (1948) ~ (all_52_4 = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (1947) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | (1949) ~ (all_52_6 = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1947) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | (1950) ~ (e3 = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1947) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | (1951) op(e2, e2) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | (1952) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1952) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | (1953) all_57_28 = e2 & op(e3, e3) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1953) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | (1954) op(e3, e3) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1893), (1954), (function-axioms) are
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | (1955) all_57_29 = e2 & op(e2, e2) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1955) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | (1956) all_57_29 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | (1957) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_56_1 = e2 & op(e3, e2) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1958) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1959) op(e3, e2) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1948), (1959), (function-axioms) are
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_56_3 = e2 & op(e2, e2) = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_56_3 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) ~ (all_32_2 = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (1962) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) ~ (all_6_2 = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1893), (1951), (1964),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1102.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_25))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1965) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1966) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (1967),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1929), (1963), (1969) are inconsistent by
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1100.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1970) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) op(e0, e3) = all_57_25
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_54_15 = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1972) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_6_2 = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1963), (1973) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) $false
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1974) is inconsistent.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_54_15 = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1893), (1951), (1977),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1102.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & $i(all_57_28))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1979) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (1980),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1929), (1963), (1982) are inconsistent by
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1100.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) ~ (all_57_28 = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) op(e3, e3) = all_57_28
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_54_15 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1986) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_6_2 = e2
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (1987) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) $false
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1988) is inconsistent.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) ~ (all_54_15 = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_54_15 = e1 | all_54_15 = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1990) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_54_15 = e1
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1991) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_6_2 = e1
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (1992) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) $false
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1993) is inconsistent.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_54_15 = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1994) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_6_2 = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_57_31 = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) ~ (all_52_11 = e0)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) ~ (all_52_14 = e0)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1963), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) ~ (e3 = e0)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) ~ (e2 = e0)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) ~ (e1 = e0)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1995) imply:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) op(e0, e0) = e0
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (1984), (1985), (2003),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1538.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & $i(all_57_19))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2004) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2005) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2006),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2007) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2008) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) op(e0, e0) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2009), (function-axioms) are
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2010) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) ~ (all_57_19 = e2)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) op(e2, e3) = all_57_19
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (1984), (1985), (2013),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1538.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_22 & $i(all_57_22))
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2015) implies:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) op(e1, e1) = e3
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2016),
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2018) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) op(e0, e0) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2019), (function-axioms) are
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2020) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) ~ (all_57_22 = e1)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) op(e1, e3) = all_57_22
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (1971)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_57_25 = all_52_3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e3, e1, simplifying with (163), (2022)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_57_22 = all_52_2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e3, e2, simplifying with (167), (2012)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_57_19 = all_52_1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e3, e3, simplifying with (1893), (1985)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_57_28 = e1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2025) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) ~ (all_52_1 = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_54_4 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (2028) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_52_1 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2029) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_52_1 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2030) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) ~ (all_52_3 = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2031) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) ~ (all_52_3 = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2030) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) ~ (all_52_9 = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2033) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) ~ (all_52_9 = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2030) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) op(e2, e3) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2037) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_56_12 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) op(e0, e3) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_56_12 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2038), (2042) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1555.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1921), (2043) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1513.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2045) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_56_14 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893), (1927), (1951), (2047), (function-axioms)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1099.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2049) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_56_6 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (229), (386), (2035), (2037),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050), (function-axioms) are inconsistent by
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1097.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2051) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_56_13 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (159), (207), (387), (2039),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046), (2052), (function-axioms) are inconsistent
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1457.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2046), (2054) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1275.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2055) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) op(e0, e0) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2056), (function-axioms) are
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2057) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_56_12 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (387), (1913), (2046), (2058),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) op(e0, e0) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2060), (function-axioms) are
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2061) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_56_13 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1921), (2062) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2063) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2064) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_56_14 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2066) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2067) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_56_4 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2069) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2070) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_56_12 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2072) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2073) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) op(e3, e3) = e0
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2074), (function-axioms) are
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2075) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_56_1 = e0
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2077) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2078) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_56_2 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2080) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2081) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) op(e3, e3) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (1889), (2082), (2083),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1094.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2084) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_56_6 = e1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (207),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (229), (386), (387), (389), (2065), (2079),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086), (function-axioms) are inconsistent by
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1091.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_56_12 = e1
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (207),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (229), (233), (386), (387), (389), (2065),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079), (2082), (2088), (function-axioms) are
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1090.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2089) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_56_1 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2076), (2090) are inconsistent by sub-proof
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1573.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2091) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_56_4 = e3 & op(e3, e1) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2092) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_56_4 = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2068), (2093) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) e3 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) e3 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2095) imply:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_56_14 = e2
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (1921),
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071), (2096), (function-axioms) are inconsistent
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1096.
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_56_9 = e3 & op(e3, e0) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2097) implies:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) op(e3, e0) = e3
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (2035), (2099),
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2100) gives:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_56_6 = e0 & op(e1, e3) = e0
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2101) implies:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) op(e1, e3) = e0
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2103) gives:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2105) implies:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) op(e3, e2) = e3
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (170), (201), (285), (2098), (2106),
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1089.
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) op(e1, e3) = e3
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2102), (2108), (function-axioms) are
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1536.
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2109) gives:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2110) implies:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_57_25 = e3
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2111) imply:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_52_3 = e3
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2112) implies:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_52_3 = e3
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2032), (2113) imply:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) $false
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2114) is inconsistent.
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) op(e3, e2) = e2
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1948), (2116), (function-axioms) are
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2035), (2118), (function-axioms) are inconsistent
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1281.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (165), (169), (1892), (1914), (1935),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996), (2119), (function-axioms) are inconsistent
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1490.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_56_12 = e0 & op(e0, e3) = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2120) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_56_12 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121), (function-axioms) are inconsistent by
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2122) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) op(e2, e2) = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (2123), (function-axioms) are
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2124) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) op(e2, e1) = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2034), (2126), (function-axioms) are
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_56_10 = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1927), (2128) are inconsistent by sub-proof
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2130) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_56_4 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2068), (2131) imply:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) e2 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2071), (2132) imply:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_56_12 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133), (function-axioms) are inconsistent by
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2134) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_56_9 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) op(e3, e0) = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (160), (210), (387), (1914),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135), (2136), (2137), (function-axioms) are
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1088.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2138) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2139) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_56_11 = e3
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2142) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_56_6 = e2
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (2035), (2144),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_56_6 = e0 & op(e1, e3) = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2146) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_56_6 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2143), (2147) imply:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) e2 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2148) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) e2 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2071), (2149) imply:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_56_12 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150), (function-axioms) are inconsistent by
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_56_12 = e0 & op(e0, e3) = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2151) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_56_12 = e0
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152), (function-axioms) are inconsistent by
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2153) implies:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) op(e1, e2) = e2
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1949), (2154), (function-axioms) are
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2155) gives:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2156) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) op(e1, e1) = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1917), (2157), (function-axioms) are
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2158) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_56_11 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2159) imply:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) e3 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2160) imply:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_56_14 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (213), (216), (221), (224), (233),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (1893), (1913), (1917), (1927), (1951),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159), (2161), (function-axioms) are inconsistent
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1087.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2162) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) op(e0, e0) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (387), (389), (2065), (2071), (2163),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1155.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2164) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_56_13 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1921), (2165) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1086.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2065), (2166),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_56_5 = e2 & op(e2, e1) = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2167) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_56_5 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2170) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_56_12 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2172) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2173) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) op(e2, e3) = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2035), (2174), (function-axioms) are
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2175) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) op(e2, e2) = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1951), (2176), (function-axioms) are
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2178) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_56_5 = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2168), (2179) imply:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) e2 = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2171), (2180) imply:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_56_12 = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181), (function-axioms) are inconsistent by
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1927), (2182) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2183) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_56_13 = e2
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1921), (2184) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1086.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2065), (2185),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1917), (2065), (2186),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1085.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2187) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) op(e0, e0) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2188), (function-axioms) are
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) ~ (all_54_4 = e3)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (284), (2189) imply:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) ~ (all_52_1 = e3)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2192) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2193) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) op(e2, e3) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (1889), (2027), (2190), (2191),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194), (function-axioms) are inconsistent by
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1081.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2195) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) op(e2, e2) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (2196), (function-axioms) are
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2197) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2198) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) op(e2, e1) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2200) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2201) gives:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2202) implies:
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) op(e2, e3) = e3
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (1889), (2027), (2190), (2191),
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203), (function-axioms) are inconsistent by
% 175.09/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1081.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2204) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) ~ (all_57_28 = e1)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2205) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) $false
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2207) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2208) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_57_25 = e3
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) op(e3, e0) = e3
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2209) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_52_3 = e3
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2211) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) ~ (all_52_2 = e3)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_54_4 = e2
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (2027), (2213) are inconsistent by
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1084.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_54_4 = e1 | all_54_4 = e0
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2214) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_54_4 = e1
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (1889), (2215) are inconsistent by
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1083.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_54_4 = e0
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (2216) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_52_1 = e0
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2217) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_52_1 = e0
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2218) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) ~ (all_52_2 = e0)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2219) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) ~ (all_52_2 = e0)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_54_8 = e3
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (2221) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_52_2 = e3
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2212), (2222) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) $false
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2223) is inconsistent.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2224) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_54_8 = e2
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (2225) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_52_2 = e2
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2226) imply:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) ~ (all_52_14 = e2)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2227) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) ~ (all_52_14 = e2)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (168), (193), (265), (1914), (1998),
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210), (2228), (function-axioms) are inconsistent
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1080.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_54_8 = e1 | all_54_8 = e0
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1890), (2220), (2229) are inconsistent by
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2230) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) op(e2, e3) = e2
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (200), (284), (1889), (2027), (2191),
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231), (function-axioms) are inconsistent by
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1075.
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2232) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2233) gives:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2234) implies:
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) op(e2, e1) = e2
% 175.09/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2199), (2235), (function-axioms) are
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) op(e2, e0) = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) op(e2, e2) = all_57_29
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) op(e2, all_57_19) = all_57_4
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2239) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) op(e2, all_52_1) = all_57_4
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_54_4 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (2027), (2241) are inconsistent by
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1084.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_54_4 = e1 | all_54_4 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_54_4 = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (1889), (2243) are inconsistent by
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1083.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_54_4 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (2244) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_52_1 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2245) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_52_1 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2246) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) ~ (all_52_9 = e0)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2247) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) ~ (all_52_9 = e0)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2240), (2246) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) op(e2, e0) = all_57_4
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_54_6 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (2250) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_52_9 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2251) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) ~ (all_52_8 = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2251) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) ~ (all_52_11 = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) ~ (all_52_11 = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_54_14 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (2254), (2255) are inconsistent by
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1259.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) ~ (all_54_14 = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2257) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_54_14 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (2258) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_52_11 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2259) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_52_11 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2260) imply:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) ~ (all_52_8 = e2)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_54_2 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2252), (2262) are inconsistent by
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2264) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2265) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_56_4 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2267) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2268) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_56_12 = e2
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2270) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2271) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) op(e3, e3) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2272), (function-axioms) are
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2273) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_56_1 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2275) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2274), (2276) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1138.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) op(e2, e2) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (2278), (function-axioms) are
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2279) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2280) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_56_7 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2269), (2283) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1074.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2284) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_56_13 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2286) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_56_1 = e1 & op(e3, e2) = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2287) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_56_1 = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2289) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2273), (2288) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1581.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) op(e2, e2) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (2281), (2285), (2288),
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (function-axioms) are inconsistent by
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1070.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_56_7 = e0 & op(e1, e2) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_56_7 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2281), (2294) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1464.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_56_13 = e0 & op(e0, e2) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2285), (2295) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1421.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_56_3 = e1 & op(e2, e2) = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2296) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) op(e2, e2) = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1951), (2297), (function-axioms) are
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2298) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_56_7 = e1 & op(e1, e2) = e1
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2281), (2299) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1920), (2285) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1460.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2300) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2301) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_56_14 = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (1917), (2248),
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266), (2302), (function-axioms) are inconsistent
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1067.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2303) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) op(e0, e0) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2304), (function-axioms) are
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1921), (2305) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_56_4 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2266), (2308) are inconsistent by sub-proof
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2309) implies:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_56_9 = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) op(e3, e0) = e0
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (160), (210), (387), (1914),
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310), (2311), (2312), (function-axioms) are
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1088.
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2313) gives:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2314) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_56_11 = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2316) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2317) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_56_9 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2310), (2318) are inconsistent by sub-proof
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2319) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_56_10 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (167), (222), (1889), (1961), (2199),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320), (function-axioms) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1063.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2315), (2321),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1200.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2322) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) op(e0, e0) = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2323), (function-axioms) are
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2324) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_56_13 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (2325) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) e2 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2266), (2326) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_56_4 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (1917), (2248), (2327), (function-axioms)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1467.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2328) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2329) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_56_14 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (165), (217), (1917), (2248), (2266),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330), (function-axioms) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1062.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2331) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) op(e0, e0) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2332), (function-axioms) are
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_56_5 = e2 & op(e2, e1) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2333) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) op(e2, e1) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (198), (262), (276), (1913), (1997),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248), (2257), (2334), (function-axioms) are
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1144.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2335) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2336) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) op(e1, e1) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1917), (2337), (function-axioms) are
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2338) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_56_14 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893), (1927), (1951), (2340), (function-axioms)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1099.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2342) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_56_6 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_54_2 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2261), (2344) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1480.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_54_2 = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_54_2 = e1 | all_54_2 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2346) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_54_2 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (1892), (2347) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_54_2 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (2348) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_52_8 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2349) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_52_8 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2350) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) ~ (all_52_4 = e0)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_54_1 = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (2352) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_52_4 = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2353) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_52_4 = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2354) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) ~ (all_52_6 = e3)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2355) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) ~ (all_52_6 = e3)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_54_9 = e3
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2356), (2357) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) ~ (all_54_9 = e3)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2360) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2361) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_56_9 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2359) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_54_9 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (1949), (2363) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) ~ (all_54_9 = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_54_9 = e1 | all_54_9 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_54_2 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2261), (2366) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1480.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2346) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_54_2 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (1892), (2367) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_54_9 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (1933), (2368) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_54_9 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (2369) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_52_6 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2370) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_52_6 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_4,
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1928), (2249) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_57_4 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_4,
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (2237), (2249) gives:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_57_4 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2373) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) e2 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2362), (2374) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_56_9 = e1
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (236), (386), (1893), (2351),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375), (function-axioms) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1059.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2376) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_56_10 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (167), (222), (1889), (1961), (2199),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377), (function-axioms) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1063.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (1917), (2343), (2378), (function-axioms)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1387.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (1932), (1948), (2351), (2379) are
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2380) implies:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_56_12 = e2
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (387), (1913), (2339), (2381),
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_54_14 = e1 | all_54_14 = e0
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1913), (1997), (2382) are inconsistent by
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1305.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) ~ (all_54_6 = e3)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (2383) imply:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) ~ (all_52_9 = e3)
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2199), (2384), (function-axioms) are
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2385) gives:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2386) implies:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) op(e3, e1) = e1
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1892), (2387), (function-axioms) are
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2389) implies:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) op(e2, e1) = e1
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2199), (2390), (function-axioms) are
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2391) implies:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1914), (1996), (2392), (function-axioms)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1583.
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2393) implies:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_56_10 = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1927), (2394) are inconsistent by sub-proof
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_32_2 = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (2395) imply:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_6_2 = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2396) implies:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_6_2 = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (2397) imply:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_38_2 = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (2397) imply:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_57_31 = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2397) imply:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) ~ (all_52_12 = e3)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2397) imply:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) op(e0, e0) = e3
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) ~ (all_38_2 = e3)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2398), (2402) imply:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) $false
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2403) is inconsistent.
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (1951), (2405),
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2407) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) op(e1, e1) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2408), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_57_31 = e0 & op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2410) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2411), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2412) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) ~ (all_57_24 = e1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) op(e1, e0) = all_57_24
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (1951), (2415),
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2416) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2417) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) op(e1, e1) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2418), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2419) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_57_31 = e0 & op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2420) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2421), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2422) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) ~ (all_57_21 = e2)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) op(e2, e0) = all_57_21
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2404) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2425) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) ~ (all_38_0 = e1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) op(e3, e3) = all_38_0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1893), (2426), (2427), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2428) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) ~ (all_38_1 = e2)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) op(e3, e0) = all_38_1
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (1951), (2431),
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2432) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2433) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) op(e1, e1) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2434), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2435) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_57_31 = e0 & op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2436) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2437), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2438) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) op(e3, e0) = all_57_18
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e0, e1, simplifying with (160), (2414)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_57_24 = all_52_14
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e0, e2, simplifying with (1928), (2424)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_57_21 = e1
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (168), (2439)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_57_18 = all_52_12
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_38_1,
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (2430), (2439)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_57_18 = all_38_1
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2442), (2443) imply:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_52_12 = all_38_1
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2444) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_52_12 = all_38_1
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (2445) imply:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_54_3 = all_38_1
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2445) imply:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) ~ (all_52_4 = all_38_1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2445) imply:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) ~ (all_52_14 = all_38_1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_52_14 = all_38_1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2400), (2445) imply:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) ~ (all_38_1 = e3)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1936), (2445) imply:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) ~ (all_38_1 = e1)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_54_3 = e3
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2446), (2450), (2452) are inconsistent by
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1055.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) ~ (all_54_3 = e3)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (1893), (1948), (2455),
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2456) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2457) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_56_4 = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2459) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2460) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) op(e3, e3) = e3
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1893), (2461), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_56_1 = e3
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2464) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (206), (1927), (2401),
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429), (2446), (2449), (2451), (2454), (2465),
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1050.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2466) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) op(e2, e0) = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2423), (2424), (2467), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2468) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2469) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_56_11 = e2
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_56_15 = e0 & op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2471) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) op(e0, e0) = e0
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2472), (function-axioms) are
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2473) implies:
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 175.09/26.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2475) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2476) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) op(e3, e0) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (236), (1893), (1951), (2458),
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477), (2478), (function-axioms) are inconsistent
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1048.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2479) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_56_7 = e0 & op(e1, e2) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2480) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_56_7 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2483) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_56_6 = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) op(e1, e3) = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2486) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_56_4 = e3 & op(e3, e1) = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2487) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_56_4 = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2458), (2488) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) e3 = e2
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2484), (2489) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_56_6 = e2
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (1917),
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470), (2490), (function-axioms) are inconsistent
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1450.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2491) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_56_5 = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) op(e2, e1) = e3
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2494) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2495) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_56_4 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2458), (2496) are inconsistent by sub-proof
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2497) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_56_5 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2492), (2498) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) e3 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2499) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) e3 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2500) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_56_1 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (1893), (2458), (2477),
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501), (function-axioms) are inconsistent by
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1049.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2502) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_56_8 = e0 & op(e1, e1) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2503) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) op(e1, e1) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2504), (function-axioms) are
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_56_14 = e0 & op(e0, e1) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2505) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_56_14 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2507) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2508) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_56_12 = e2
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) op(e0, e3) = e2
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2512) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) op(e3, e3) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2513), (function-axioms) are
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2514) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) op(e2, e3) = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_54_3 = e2
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2429), (2446), (2516) are inconsistent by
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) ~ (all_54_3 = e2)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_54_3 = e1 | all_54_3 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2518) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_54_3 = e1
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2446), (2451), (2519) are inconsistent by
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1052.
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_54_3 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2446), (2520) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_38_1 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2521) implies:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_38_1 = e0
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2447), (2522) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) ~ (all_52_4 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2449), (2522) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) ~ (all_52_14 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2450), (2522) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) ~ (e3 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2522) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) ~ (e2 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2451), (2522) imply:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) ~ (e1 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2529) gives:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2530) implies:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) op(e2, e3) = e3
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2515), (2531), (function-axioms) are
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2532) implies:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) op(e3, e1) = e3
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (1932), (1948),
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523), (2533), (function-axioms) are inconsistent
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1047.
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2535) implies:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) op(e3, e0) = e3
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (1927), (2475), (2524), (2536),
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1182.
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) op(e2, e3) = e2
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2515), (2538), (function-axioms) are
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2423), (2424), (2493), (2540),
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1296.
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2541) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2542) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) op(e3, e1) = e1
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1892), (2543), (function-axioms) are
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) op(e2, e1) = e1
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2493), (2546), (function-axioms) are
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2547) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_54_1 = e3
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (2549) imply:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_52_4 = e3
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2550) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_52_4 = e3
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2551) imply:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) ~ (all_52_6 = e3)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2552) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) ~ (all_52_6 = e3)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_54_9 = e3
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2553), (2554) are inconsistent by
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2556) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) op(e1, e0) = e1
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2413), (2414), (2557), (function-axioms) are
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2558) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) op(e0, e3) = all_57_25
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) op(e0, all_57_31) = all_57_15
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2399), (2560) imply:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) op(e0, e3) = all_57_15
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2561) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_57_31 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1914), (2548), (2563), (function-axioms)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1583.
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2565) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_57_25 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2559), (2566) imply:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) op(e0, e3) = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e3, e0, simplifying with (2510), (2562)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_57_15 = e2
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e3, e0, simplifying with (2562), (2567)
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_57_15 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2568), (2569) imply:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) e2 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2570) implies:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) e2 = e0
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2571) imply:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) $false
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2572) is inconsistent.
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2573) gives:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2441), (2574) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1391.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) op(e1, e0) = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (1933), (1949), (2555),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576), (function-axioms) are inconsistent by
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1045.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (1932), (1948), (2523), (2577) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (2485), (2509), (2578),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2579) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) all_56_13 = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (2580) imply:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) e2 = e1
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2581) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) e2 = e1
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2458), (2582) imply:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_56_4 = e1
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (1917), (2492), (2506),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583), (function-axioms) are inconsistent by
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1471.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2584) gives:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2585) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_56_14 = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (213), (216), (221), (224), (233),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (1893), (1913), (1917), (1927), (1951),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470), (2586), (function-axioms) are inconsistent
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1087.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2587) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) op(e0, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2588), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2589) gives:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2590) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) op(e1, e1) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2591),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2592) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_56_14 = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (208), (389),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921), (2474), (2593), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1370.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2594) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_56_7 = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2481), (2595) imply:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) e3 = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2596) imply:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_56_1 = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (1893), (2458), (2477),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597), (function-axioms) are inconsistent by
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1049.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2598) gives:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2599) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) op(e1, e1) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2600),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2470), (2601) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1494.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_56_13 = e0 & op(e0, e2) = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2602) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_56_13 = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1921), (2603) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1427.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1927), (2429), (2446), (2449),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451), (2454), (2604), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1051.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2605) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) op(e0, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2606), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (2400), (2458), (2607),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (206), (1927), (2401),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429), (2446), (2449), (2451), (2454), (2608),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1050.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (2609) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (1921), (1949), (2609),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | #1246.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | (2610) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2610) gives:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | (2611) all_57_30 = e2 & op(e1, e1) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2611) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | (2612) op(e1, e1) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1917), (2612), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | (2613) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2613) gives:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_57_31 = e2 & op(e0, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2614) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (2615) op(e0, e0) = e2
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2615), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (2616) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2616) implies:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (2617) ~ (all_57_29 = e2)
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | (2618) op(e2, e2) = all_57_29
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1951), (2617), (2618), (function-axioms) are
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1043.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | (2619) all_54_5 = e1 | all_54_5 = e0
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (1939), (2619) are inconsistent by
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | (2620) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.28 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 175.09/26.28 | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (1914), (2620),
% 175.09/26.28 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | | | #1488.
% 175.09/26.28 | | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | (2621) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 175.09/26.28 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 175.09/26.28 | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (1913), (2621),
% 175.09/26.28 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.28 | | | | | | | | | | | | | | | | #1515.
% 175.09/26.28 | | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | (2622) all_54_10 = e0
% 175.09/26.28 | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (2622) imply:
% 175.09/26.28 | | | | | | | | | | | | | | | (2623) all_14_2 = e0
% 175.09/26.28 | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | REDUCE: (1895), (2623) imply:
% 175.09/26.28 | | | | | | | | | | | | | | | (2624) $false
% 175.09/26.28 | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | | CLOSE: (2624) is inconsistent.
% 175.09/26.28 | | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | End of split
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | Case 2:
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | (2625) all_26_2 = e0
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | COMBINE_EQS: (318), (2625) imply:
% 175.09/26.28 | | | | | | | | | | (2626) all_14_2 = e0
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | REDUCE: (363), (2626) imply:
% 175.09/26.28 | | | | | | | | | | (2627) ~ (all_52_2 = e0)
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | REDUCE: (374), (2626) imply:
% 175.09/26.28 | | | | | | | | | | (2628) ~ (all_52_6 = e0)
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | REDUCE: (377), (2626) imply:
% 175.09/26.28 | | | | | | | | | | (2629) ~ (all_52_9 = e0)
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | REDUCE: (381), (2626) imply:
% 175.09/26.28 | | | | | | | | | | (2630) ~ (all_52_14 = e0)
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | REDUCE: (393), (2626) imply:
% 175.09/26.28 | | | | | | | | | | (2631) ~ (e2 = e0)
% 175.09/26.28 | | | | | | | | | |
% 175.09/26.28 | | | | | | | | | | REDUCE: (51), (2626) imply:
% 175.09/26.29 | | | | | | | | | | (2632) op(e1, e1) = e0
% 175.09/26.29 | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | BETA: splitting (1886) gives:
% 175.09/26.29 | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | (2633) ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 175.09/26.29 | | | | | | | | | | | $i(all_18_0)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | ALPHA: (2633) implies:
% 175.09/26.29 | | | | | | | | | | | (2634) ~ (all_18_0 = e0)
% 175.09/26.29 | | | | | | | | | | | (2635) op(e1, e1) = all_18_0
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | REF_CLOSE: (2632), (2634), (2635), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | inconsistent by sub-proof #1042.
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | (2636) ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 175.09/26.29 | | | | | | | | | | | $i(all_18_1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | ALPHA: (2636) implies:
% 175.09/26.29 | | | | | | | | | | | (2637) ~ (all_18_1 = e2)
% 175.09/26.29 | | | | | | | | | | | (2638) op(e1, e3) = all_18_1
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 175.09/26.29 | | | | | | | | | | | all_18_1, e3, e1, simplifying with (163), (2638)
% 175.09/26.29 | | | | | | | | | | | gives:
% 175.09/26.29 | | | | | | | | | | | (2639) all_52_2 = all_18_1
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | COMBINE_EQS: (274), (2639) imply:
% 175.09/26.29 | | | | | | | | | | | (2640) all_54_8 = all_18_1
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | REDUCE: (149), (2639) imply:
% 175.09/26.29 | | | | | | | | | | | (2641) ~ (all_52_1 = all_18_1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | REDUCE: (143), (2639) imply:
% 175.09/26.29 | | | | | | | | | | | (2642) ~ (all_52_6 = all_18_1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | SIMP: (2642) implies:
% 175.09/26.29 | | | | | | | | | | | (2643) ~ (all_52_6 = all_18_1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | REDUCE: (141), (2639) imply:
% 175.09/26.29 | | | | | | | | | | | (2644) ~ (all_52_14 = all_18_1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | SIMP: (2644) implies:
% 175.09/26.29 | | | | | | | | | | | (2645) ~ (all_52_14 = all_18_1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | REDUCE: (1890), (2639) imply:
% 175.09/26.29 | | | | | | | | | | | (2646) ~ (all_18_1 = e1)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | REDUCE: (2627), (2639) imply:
% 175.09/26.29 | | | | | | | | | | | (2647) ~ (all_18_1 = e0)
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | BETA: splitting (196) gives:
% 175.09/26.29 | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | (2648) all_54_8 = e3
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | COMBINE_EQS: (2640), (2648) imply:
% 175.09/26.29 | | | | | | | | | | | | (2649) all_18_1 = e3
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | REDUCE: (2641), (2649) imply:
% 175.09/26.29 | | | | | | | | | | | | (2650) ~ (all_52_1 = e3)
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | REDUCE: (2643), (2649) imply:
% 175.09/26.29 | | | | | | | | | | | | (2651) ~ (all_52_6 = e3)
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | REDUCE: (2645), (2649) imply:
% 175.09/26.29 | | | | | | | | | | | | (2652) ~ (all_52_14 = e3)
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | REDUCE: (2638), (2649) imply:
% 175.09/26.29 | | | | | | | | | | | | (2653) op(e1, e3) = e3
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.29 | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | (2654) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.29 | | | | | | | | | | | | | & op(e1, e2) = e3)
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | BETA: splitting (2654) gives:
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | (2655) all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | ALPHA: (2655) implies:
% 175.09/26.29 | | | | | | | | | | | | | | (2656) all_56_6 = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (39), (45), (73), (126),
% 175.09/26.29 | | | | | | | | | | | | | | (128), (157), (158), (159), (160), (162), (163),
% 175.09/26.29 | | | | | | | | | | | | | | (164), (165), (167), (169), (193), (195), (198),
% 175.09/26.29 | | | | | | | | | | | | | | (199), (200), (207), (208), (210), (213), (215),
% 175.09/26.29 | | | | | | | | | | | | | | (218), (224), (225), (228), (229), (230), (233),
% 175.09/26.29 | | | | | | | | | | | | | | (234), (236), (245), (254), (265), (273), (276),
% 175.09/26.29 | | | | | | | | | | | | | | (283), (284), (329), (362), (367), (369), (371),
% 175.09/26.29 | | | | | | | | | | | | | | (373), (386), (387), (389), (390), (392), (1889),
% 175.09/26.29 | | | | | | | | | | | | | | (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.29 | | | | | | | | | | | | | | (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.29 | | | | | | | | | | | | | | (2656), (function-axioms) are inconsistent by
% 175.09/26.29 | | | | | | | | | | | | | | sub-proof #1022.
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | (2657) all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | ALPHA: (2657) implies:
% 175.09/26.29 | | | | | | | | | | | | | | (2658) all_56_7 = e3
% 175.09/26.29 | | | | | | | | | | | | | | (2659) op(e1, e2) = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | (2660) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 175.09/26.29 | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | (2661) all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | ALPHA: (2661) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | (2662) op(e1, e3) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2653), (2662), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1021.
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | (2663) all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2658), (2663) are inconsistent by sub-proof
% 175.09/26.29 | | | | | | | | | | | | | | | | #1072.
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | (2664) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 175.09/26.29 | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | BETA: splitting (2664) gives:
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | (2665) all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | ALPHA: (2665) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | (2666) op(e1, e1) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2632), (2666), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | (2667) all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | ALPHA: (2667) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | (2668) all_56_11 = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | (2669) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2670) all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2671) op(e1, e3) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1890), (2671), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2672) all_56_7 = e1 & op(e1, e2) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | ALPHA: (2672) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2673) op(e1, e2) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2659), (2673), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | (2674) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 175.09/26.29 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | BETA: splitting (2674) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2675) all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | ALPHA: (2675) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2676) op(e1, e1) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (2628), (2653),
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2668), (2676), (function-axioms) are inconsistent
% 175.09/26.29 | | | | | | | | | | | | | | | | | | by sub-proof #1109.
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2677) all_56_11 = e1 & op(e1, e0) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2668), (2677) are inconsistent by sub-proof
% 175.09/26.29 | | | | | | | | | | | | | | | | | | #1108.
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | End of split
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | (2678) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.29 | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | BETA: splitting (2678) gives:
% 175.09/26.29 | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | (2679) all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | ALPHA: (2679) implies:
% 175.09/26.29 | | | | | | | | | | | | | | (2680) op(e1, e1) = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | REF_CLOSE: (7), (2632), (2680), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | (2681) all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | ALPHA: (2681) implies:
% 175.09/26.29 | | | | | | | | | | | | | | (2682) all_56_11 = e3
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 175.09/26.29 | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | (2683) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 175.09/26.29 | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | BETA: splitting (2683) gives:
% 175.09/26.29 | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | (2684) all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | ALPHA: (2684) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | (2685) all_56_6 = e2
% 175.09/26.29 | | | | | | | | | | | | | | | | (2686) op(e1, e3) = e2
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | (2687) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | BETA: splitting (2687) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2688) all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | ALPHA: (2688) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2689) op(e1, e3) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1890), (2689), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2690) all_56_7 = e1 & op(e1, e2) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | ALPHA: (2690) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2691) all_56_7 = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | | (2692) op(e1, e2) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | (2693) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 175.09/26.29 | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | (2694) all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | ALPHA: (2694) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | (2695) all_56_9 = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (1893), (2695),
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | #1103.
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | (2696) all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | ALPHA: (2696) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | (2697) all_56_10 = e1
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | (2698) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2698) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | (2699) all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2699) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | (2700) all_56_2 = e3
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | (2701) op(e2, e3) = e3
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | (2702) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (2701), (2702),
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | (2703) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_56_6 = e0 & op(e1, e3) = e0
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2627), (2704), (function-axioms) are
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1197.
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_56_12 = e0 & op(e0, e3) = e0
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2705) implies:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_56_12 = e0
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | (2707) op(e0, e3) = e0
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | (2708) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_56_9 = e2
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2712) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) op(e3, e3) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2713), (function-axioms) are
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2714) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_56_1 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (234), (235), (236),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (254), (265), (273), (276), (283), (284),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (362), (367), (369), (371), (373), (386),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (390), (392), (1889), (1890),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682), (2685), (2686), (2691), (2692), (2697),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715), (function-axioms) are inconsistent by
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #997.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2716) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2717) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) op(e3, e1) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2719) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2720) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) op(e3, e3) = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (1889), (2721), (2722),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1094.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2723) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2685), (2724) are inconsistent by sub-proof
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #996.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2725) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_56_12 = e1
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) op(e0, e3) = e1
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (229), (233),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (2700), (2701), (2721), (2726), (2727),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1588.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2728) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_56_1 = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_56_15 = e0 & op(e0, e0) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2730) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(e0, e0) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2732) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2733) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_56_1 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (234), (235), (236),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (254), (265), (273), (276), (283), (284),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (362), (367), (369), (371), (373), (386),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (390), (392), (1889), (1890),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682), (2685), (2686), (2691), (2692), (2697),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734), (function-axioms) are inconsistent by
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #997.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) op(e2, e2) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (392), (2736), (function-axioms) are
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2737) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_56_7 = e0 & op(e1, e2) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2628), (2738), (function-axioms) are
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_56_13 = e0 & op(e0, e2) = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2739) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_56_13 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2741) gives:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (229), (386), (2685), (2701),
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742), (function-axioms) are inconsistent by
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1097.
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_56_13 = e3
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2740), (2744) imply:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) e3 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2729), (2745) imply:
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_56_1 = e0
% 175.09/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (233), (234), (235), (236),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (254), (265), (273), (276), (283), (284),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (362), (367), (369), (371), (373), (386),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (390), (392), (1889), (1890),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682), (2685), (2686), (2691), (2692), (2697),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746), (function-axioms) are inconsistent by
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #997.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (2706), (2707), (2731), (2747),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #995.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2748) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2710), (2750) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1574.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (2630), (2697), (2751),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1183.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (2710), (2718), (2752),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1400.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_56_9 = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2710), (2754) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_56_10 = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2697), (2756) imply:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) e2 = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2685), (2757) imply:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_56_6 = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (1893), (2700), (2706),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2758), (function-axioms) are inconsistent by
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #994.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2759) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2682), (2759),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | #1200.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | (2760) all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2760) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | (2761) op(e2, e2) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | (2762) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2762) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2763) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2764) op(e3, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1893), (2764), (function-axioms) are
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2765) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2766) op(e2, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2767) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2768) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) op(e2, e3) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2766), (2769), (function-axioms) are
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2770) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) op(e2, e2) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2761), (2771), (function-axioms) are
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2772) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (2629), (2697), (2772),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | (2773) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2773) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2774) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_56_6 = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (39), (45), (73), (126),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (128), (157), (158), (159), (160), (162), (163),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (193), (195), (198),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (199), (200), (207), (208), (210), (213), (215),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (218), (224), (225), (228), (229), (230), (233),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (245), (254), (265), (273), (276),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (283), (284), (329), (362), (367), (369), (371),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (373), (386), (387), (389), (390), (392), (1889),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2775), (function-axioms) are inconsistent by
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1022.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2776) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_56_12 = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2778) op(e0, e3) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (159),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (169), (206), (207), (209), (211),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (218), (220), (223), (225),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (230), (231), (234), (236), (386),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (1890), (1893), (2628), (2632),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2653), (2682), (2685), (2686), (2691), (2697),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2761), (2777), (2778), (function-axioms) are
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1001.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | (2779) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2779) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | (2780) all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2780) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | (2781) op(e2, e1) = e3
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | (2782) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1892), (2781), (2782),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | #1041.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | (2783) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2783) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2784) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2785) op(e1, e1) = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2628), (2682), (2691), (2785), (function-axioms)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1005.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_56_14 = e1
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | (2788) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2789) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_56_9 = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2791) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2792) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_56_4 = e2
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) op(e2, e3) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2797) gives:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2798) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) op(e3, e3) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2799), (function-axioms) are
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2800) implies:
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_56_1 = e0
% 175.09/26.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (225), (227), (228), (229),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (233), (234), (235), (236), (245),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254), (265), (273), (276), (283), (284), (329),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362), (367), (369), (371), (373), (386), (387),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (390), (392), (1889), (1890), (1891),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892), (1893), (2627), (2628), (2629), (2630),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632), (2650), (2651), (2652), (2653), (2682),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685), (2686), (2691), (2692), (2697), (2796),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801), (function-axioms) are inconsistent by
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #998.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2802) gives:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2803) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_56_4 = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2793), (2804) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2790), (2805) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1574.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2806) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) op(e2, e2) = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (392), (2807), (function-axioms) are
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2808) gives:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2629), (2809), (function-axioms) are
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2697), (2810) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_56_5 = e2 & op(e2, e1) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2811) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) op(e2, e1) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2781), (2812), (function-axioms) are
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2813) gives:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2814) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) op(e1, e1) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (2628), (2685), (2815), (function-axioms)
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1161.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2816) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_56_14 = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2787), (2817) imply:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) e2 = e1
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2790), (2818) imply:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_56_9 = e1
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (1893), (2819),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2697), (2820) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | (2821) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2682), (2821),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | | #1200.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | (2822) all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2697), (2822) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | | #1141.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | (2823) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 175.09/26.32 | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (2682), (2823),
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | | | #1110.
% 175.09/26.32 | | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | (2824) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 175.09/26.32 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 175.09/26.32 | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2632), (2682), (2824),
% 175.09/26.32 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | | | #1017.
% 175.09/26.32 | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | (2825) all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | ALPHA: (2825) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | (2826) all_56_7 = e2
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (1890), (2632),
% 175.09/26.32 | | | | | | | | | | | | | | | | (2682), (2826), (function-axioms) are inconsistent
% 175.09/26.32 | | | | | | | | | | | | | | | | by sub-proof #1016.
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | (2827) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 175.09/26.32 | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2632), (2682), (2827),
% 175.09/26.32 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.32 | | | | | | | | | | | | | | | #1156.
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | (2828) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | BETA: splitting (2828) gives:
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | (2829) all_54_8 = e2
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | COMBINE_EQS: (2640), (2829) imply:
% 175.09/26.32 | | | | | | | | | | | | | (2830) all_18_1 = e2
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | REDUCE: (2637), (2830) imply:
% 175.09/26.32 | | | | | | | | | | | | | (2831) $false
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | CLOSE: (2831) is inconsistent.
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | (2832) all_54_8 = e1 | all_54_8 = e0
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | REF_CLOSE: (274), (1890), (2627), (2832) are inconsistent by
% 175.09/26.32 | | | | | | | | | | | | | sub-proof #1079.
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | End of split
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | End of split
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | (2833) all_16_2 = e3
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | COMBINE_EQS: (338), (2833) imply:
% 175.09/26.32 | | | | | | | | (2834) all_14_2 = e3
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | SIMP: (2834) implies:
% 175.09/26.32 | | | | | | | | (2835) all_14_2 = e3
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | COMBINE_EQS: (337), (2835) imply:
% 175.09/26.32 | | | | | | | | (2836) all_24_2 = e3
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (363), (2835) imply:
% 175.09/26.32 | | | | | | | | (2837) ~ (all_52_2 = e3)
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (374), (2835) imply:
% 175.09/26.32 | | | | | | | | (2838) ~ (all_52_6 = e3)
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (376), (2835) imply:
% 175.09/26.32 | | | | | | | | (2839) ~ (all_52_8 = e3)
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (377), (2835) imply:
% 175.09/26.32 | | | | | | | | (2840) ~ (all_52_9 = e3)
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (379), (2835) imply:
% 175.09/26.32 | | | | | | | | (2841) ~ (all_52_11 = e3)
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (381), (2835) imply:
% 175.09/26.32 | | | | | | | | (2842) ~ (all_52_14 = e3)
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | REDUCE: (51), (2835) imply:
% 175.09/26.32 | | | | | | | | (2843) op(e1, e1) = e3
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | BETA: splitting (238) gives:
% 175.09/26.32 | | | | | | | |
% 175.09/26.32 | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | | (2844) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0
% 175.09/26.32 | | | | | | | | | & op(e2, e2) = e0)
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (2844), (function-axioms)
% 175.09/26.32 | | | | | | | | | are inconsistent by sub-proof #1622.
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | | (2845) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 175.09/26.32 | | | | | | | | | all_57_31 & $i(all_57_31))
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | | BETA: splitting (2845) gives:
% 175.09/26.32 | | | | | | | | |
% 175.09/26.32 | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | (2846) all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | ALPHA: (2846) implies:
% 175.09/26.32 | | | | | | | | | | (2847) op(e1, e1) = e0
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | REF_CLOSE: (7), (2843), (2847), (function-axioms) are
% 175.09/26.32 | | | | | | | | | | inconsistent by sub-proof #1252.
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | (2848) op(e0, e0) = all_57_31 & $i(all_57_31)
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | ALPHA: (2848) implies:
% 175.09/26.32 | | | | | | | | | | (2849) op(e0, e0) = all_57_31
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 175.09/26.32 | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (2849)
% 175.09/26.32 | | | | | | | | | | gives:
% 175.09/26.32 | | | | | | | | | | (2850) all_57_31 = all_6_2
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | BETA: splitting (58) gives:
% 175.09/26.32 | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | (2851) ~ (all_18_2 = e1)
% 175.09/26.32 | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | REDUCE: (342), (2851) imply:
% 175.09/26.32 | | | | | | | | | | | (2852) ~ (all_4_2 = e1)
% 175.09/26.32 | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | BETA: splitting (67) gives:
% 175.09/26.32 | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | (2853) ~ (all_24_2 = e3)
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | REDUCE: (2836), (2853) imply:
% 175.09/26.32 | | | | | | | | | | | | (2854) $false
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | CLOSE: (2854) is inconsistent.
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | (2855) ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 175.09/26.32 | | | | | | | | | | | | $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1)
% 175.09/26.32 | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | BETA: splitting (73) gives:
% 175.09/26.32 | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | (2856) ~ (all_28_2 = e1)
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | REDUCE: (329), (2856) imply:
% 175.09/26.32 | | | | | | | | | | | | | (2857) ~ (all_10_2 = e1)
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | BETA: splitting (244) gives:
% 175.09/26.32 | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | (2858) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.32 | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (2852),
% 175.09/26.32 | | | | | | | | | | | | | | (2857), (2858), (function-axioms) are inconsistent
% 175.09/26.32 | | | | | | | | | | | | | | by sub-proof #1269.
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | (2859) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.32 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 175.09/26.32 | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | BETA: splitting (2859) gives:
% 175.09/26.32 | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | (2860) all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | ALPHA: (2860) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | (2861) op(e1, e1) = e1
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (2861), (function-axioms) are
% 175.09/26.32 | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | (2862) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.32 | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 175.09/26.32 | | | | | | | | | | | | | | | $i(all_57_20))
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | BETA: splitting (2862) gives:
% 175.09/26.32 | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | (2863) all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | ALPHA: (2863) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | (2864) op(e0, e0) = e1
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2864), (function-axioms) are
% 175.09/26.32 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | (2865) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 175.09/26.32 | | | | | | | | | | | | | | | | $i(all_57_20)
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | ALPHA: (2865) implies:
% 175.09/26.32 | | | | | | | | | | | | | | | | (2866) ~ (all_57_20 = e2)
% 175.09/26.32 | | | | | | | | | | | | | | | | (2867) op(e2, e1) = all_57_20
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 175.09/26.32 | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32 | | | | | | | | | | | | | | | | |
% 175.09/26.32 | | | | | | | | | | | | | | | | | (2868) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.32 | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 175.09/26.32 | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (2852),
% 175.09/26.33 | | | | | | | | | | | | | | | | | (2857), (2868), (function-axioms) are inconsistent
% 175.09/26.33 | | | | | | | | | | | | | | | | | by sub-proof #1269.
% 175.09/26.33 | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | (2869) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.33 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 175.09/26.33 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 175.09/26.33 | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | BETA: splitting (2869) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | (2870) all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | ALPHA: (2870) implies:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | (2871) op(e1, e1) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (2871), (function-axioms) are
% 175.09/26.33 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | (2872) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.33 | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 175.09/26.33 | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | BETA: splitting (2872) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | (2873) all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | ALPHA: (2873) implies:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | (2874) op(e0, e0) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2874), (function-axioms) are
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | (2875) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | ALPHA: (2875) implies:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | (2876) ~ (all_57_17 = e3)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | (2877) op(e3, e1) = all_57_17
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | (2878) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (2852),
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | (2857), (2878), (function-axioms) are inconsistent
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | by sub-proof #1269.
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | (2879) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2879) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | (2880) all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2880) implies:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | (2881) op(e1, e1) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (2881), (function-axioms) are
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | (2882) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2882) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | (2883) all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2883) implies:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | (2884) op(e0, e0) = e1
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2884), (function-axioms) are
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | (2885) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2885) implies:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | (2886) ~ (all_57_30 = e1)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | (2887) op(e1, e1) = all_57_30
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | (2888) all_54_5 = e3
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (2888) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | (2889) all_10_2 = e3
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (2889) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | (2890) $false
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2890) is inconsistent.
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | (2891) ~ (all_54_5 = e3)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | (2892) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_54_5 = e2
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (2893) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_10_2 = e2
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (2894) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2895) ~ (all_52_4 = e2)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2894) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2896) ~ (all_52_6 = e2)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2894) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2897) ~ (all_52_7 = e2)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2894) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2898) ~ (all_52_13 = e2)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (2894) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2899) ~ (e3 = e2)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2894) imply:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | (2900) op(e2, e2) = e2
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | (2901) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (2852), (2900), (2901),
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | #1267.
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | (2902) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2902) gives:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.09/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_57_30 = e1 & op(e1, e1) = e1
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2903) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) op(e1, e1) = e1
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2886), (2887), (2904), (function-axioms) are
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2905) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_57_31 = e1 & op(e0, e0) = e1
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2906) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) op(e0, e0) = e1
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2907), (function-axioms) are
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2908) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) op(e0, e1) = all_57_27
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (2909)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_57_27 = all_52_11
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (2843), (2887)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_57_30 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (2867)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_57_20 = all_52_9
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (2877)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_57_17 = all_52_8
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2866), (2912) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) ~ (all_52_9 = e2)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) ~ (all_30_2 = e2)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2915) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) ~ (all_4_2 = e2)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_54_0 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2917) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_4_2 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (2918) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) ~ (all_52_4 = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2918) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) op(e3, e3) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_56_2 = e3 & op(e2, e3) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (229), (231), (233),
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (2897), (2920), (2922),
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #991.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_56_3 = e3 & op(e2, e2) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2923) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) op(e2, e2) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2900), (2924), (function-axioms) are
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2925) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_56_5 = e3 & op(e2, e1) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2926) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) op(e2, e1) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (2927), (function-axioms) are
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_56_10 = e3 & op(e2, e0) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2928) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_56_10 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) op(e2, e0) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2931) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_56_0 = e3 & op(e3, e3) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2932) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_56_0 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (2900), (2919), (2934),
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2935) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_56_7 = e3 & op(e1, e2) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2838), (2936), (function-axioms) are
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_56_13 = e3 & op(e0, e2) = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2937) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_56_13 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (2930) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_52_13 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2939) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) ~ (all_52_14 = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (2939) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) ~ (all_6_2 = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2941) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) ~ (all_6_2 = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_54_15 = e3
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (2942), (2943) are inconsistent by
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) ~ (all_54_15 = e3)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2945) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_54_15 = e2
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (2946) are inconsistent by sub-proof
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) ~ (all_54_15 = e2)
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_54_15 = e1 | all_54_15 = e0
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) all_54_15 = e1
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (2949) are inconsistent by sub-proof
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) all_54_15 = e0
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2950) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_6_2 = e0
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2951) implies:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_6_2 = e0
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (2952) imply:
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_57_31 = e0
% 175.92/26.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (2952) imply:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) ~ (all_52_11 = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2952) imply:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) ~ (all_52_12 = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (2952) imply:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) ~ (all_52_14 = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2942), (2952) imply:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) ~ (e3 = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (2952) imply:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) ~ (e2 = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (2952) imply:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) ~ (e1 = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2960) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_56_4 = e2 & op(e3, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2961) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_56_4 = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (193), (195), (196), (197),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (202), (203), (204), (206), (207),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (220), (221), (222),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (243), (244), (254), (261), (262),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263), (265), (273), (274), (275), (276), (284),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286), (287), (294), (344), (351), (353), (357),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361), (375), (382), (383), (384), (385), (386),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (2839), (2842), (2843), (2850),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852), (2867), (2877), (2886), (2887), (2895),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896), (2897), (2898), (2900), (2909), (2912),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914), (2920), (2929), (2938), (2953), (2954),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2956), (2962), (function-axioms) are
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_56_5 = e2 & op(e2, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2963) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) op(e2, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2867), (2914), (2964), (function-axioms)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1327.
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2965) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) all_56_8 = e2 & op(e1, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2966) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) op(e1, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (193), (195), (196), (197),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (202), (203), (204), (206), (207),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (220), (223), (224),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (239), (241), (243),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (254), (261), (262), (263), (265), (273),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274), (275), (276), (284), (286), (287), (294),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344), (351), (353), (357), (361), (375), (382),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383), (384), (385), (386), (387), (389), (2850),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852), (2877), (2886), (2887), (2896), (2897),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898), (2900), (2967), (function-axioms) are
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_56_14 = e2 & op(e0, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2968) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_56_14 = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) op(e0, e1) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_56_12 = e1 & op(e0, e3) = e1
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_56_12 = e1
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) op(e0, e3) = e1
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900), (2920), (2929), (2975), (function-axioms)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #879.
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_56_6 = e2 & op(e1, e3) = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_56_6 = e2
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2979) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_56_0 = e0 & op(e3, e3) = e0
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2980) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) op(e3, e3) = e0
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2981), (function-axioms) are
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_56_2 = e0 & op(e2, e3) = e0
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_56_2 = e0
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) op(e2, e3) = e0
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2900), (2983), (2985),
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2986) gives:
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 175.92/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_56_5 = e1 & op(e2, e1) = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2987) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_56_5 = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) op(e2, e1) = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2990) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_56_6 = e0 & op(e1, e3) = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2978), (2991) are inconsistent by sub-proof
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_56_7 = e0 & op(e1, e2) = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2992) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_56_7 = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) op(e1, e2) = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_56_1 = e1 & op(e3, e2) = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2996) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_56_1 = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) op(e3, e2) = e1
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (2997), (2999),
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1580.
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3000) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_56_4 = e0 & op(e3, e1) = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3001) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_56_4 = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) op(e3, e1) = e0
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_56_0 = e2 & op(e3, e3) = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3005) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) op(e3, e3) = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2920), (3006), (function-axioms) are
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1594.
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_56_1 = e2 & op(e3, e2) = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3007) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) op(e3, e2) = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2998), (3008), (function-axioms) are
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1424.
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3009) gives:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_56_4 = e2 & op(e3, e1) = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3010) implies:
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_56_4 = e2
% 176.16/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (193), (195), (196), (197),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (202), (203), (204), (206), (207),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (220), (221), (222),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (243), (244), (254), (261), (262),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263), (265), (273), (274), (275), (276), (284),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286), (287), (294), (344), (351), (353), (357),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361), (375), (382), (383), (384), (385), (386),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (2839), (2842), (2843), (2850),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852), (2867), (2877), (2886), (2887), (2895),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896), (2897), (2898), (2900), (2909), (2912),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914), (2920), (2929), (2938), (2953), (2954),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2956), (3011), (function-axioms) are
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) all_56_9 = e2 & op(e3, e0) = e2
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3012) implies:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) op(e3, e0) = e2
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_56_9 = e1 & op(e3, e0) = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3015) implies:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) all_56_9 = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (170), (234), (2895), (2920),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002), (3016), (function-axioms) are inconsistent
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #869.
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_56_10 = e1 & op(e2, e0) = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3017) implies:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_56_10 = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (2929), (2933),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974), (2978), (2983), (3018), (function-axioms)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #865.
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_56_11 = e1 & op(e1, e0) = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3020) implies:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) op(e1, e0) = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (2970) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_52_11 = e2
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2974) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_52_3 = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (3021) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_52_14 = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (2994) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_52_6 = e0
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2989) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_52_9 = e1
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (2984) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_52_1 = e0
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (3013) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_52_12 = e2
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (3003) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_52_8 = e0
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (3024) imply:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) ~ (e3 = e1)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3031) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (2839), (2984), (3032),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1262.
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3034) implies:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) op(e0, e3) = e3
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (2974), (3035), (function-axioms) are
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3036) implies:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) op(e2, e3) = e2
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (2900), (2929), (2988),
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037), (function-axioms) are inconsistent by
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #881.
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (2897), (2989), (3039),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #864.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3040) gives:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3041) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) op(e3, e1) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3003), (3042), (function-axioms) are
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2953), (2970), (2994), (3043),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #860.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_56_15 = e1 & op(e0, e0) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3044) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) op(e0, e0) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3045), (function-axioms) are
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_56_9 = e0 & op(e3, e0) = e0
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3046) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_56_9 = e0
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (164), (210), (211),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (2898), (2929), (3047),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) all_56_3 = e1 & op(e2, e2) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3048) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) op(e2, e2) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2900), (3049), (function-axioms) are
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3050) gives:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_56_7 = e1 & op(e1, e2) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3051) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_56_7 = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2993), (3052) are inconsistent by sub-proof
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #888.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) all_56_13 = e1 & op(e0, e2) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3053) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) all_56_13 = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (206), (209),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969), (2974), (3054), (function-axioms) are
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #857.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (2843), (2956), (3055),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_56_10 = e1 & op(e2, e0) = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3056) implies:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_56_10 = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2929), (3057) imply:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) e3 = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2933), (3058) imply:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_56_0 = e1
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (2974), (2978),
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983), (3059), (function-axioms) are inconsistent
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #866.
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3060) gives:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_56_6 = e0 & op(e1, e3) = e0
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2978), (3061) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_56_12 = e0 & op(e0, e3) = e0
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3062) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) op(e0, e3) = e0
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2974), (3063), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_56_12 = e2 & op(e0, e3) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3064) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_56_12 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2973), (3065) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1383.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_56_13 = e1 & op(e0, e2) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2938), (3066) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1460.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (2970), (3067),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) all_56_2 = e3 & op(e2, e3) = e3
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (229), (231), (233),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (2897), (2920), (3068),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #991.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3069) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_56_6 = e3 & op(e1, e3) = e3
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3070) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) op(e1, e3) = e3
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2837), (3071), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_56_12 = e3 & op(e0, e3) = e3
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3072) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_56_12 = e3
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) op(e0, e3) = e3
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900), (2920), (2929), (3075), (function-axioms)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #879.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3076) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_56_6 = e2 & op(e1, e3) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3077) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_56_6 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (2897), (3074), (3079),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #854.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3080) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_56_14 = e2 & op(e0, e1) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3081) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_56_14 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3083) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_56_12 = e1 & op(e0, e3) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3084) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) op(e0, e3) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (3074), (3085), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_56_13 = e1 & op(e0, e2) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_56_13 = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_56_15 = e0 & op(e0, e0) = e0
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3088) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) op(e0, e0) = e0
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (229), (386), (2920),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073), (3078), (3090), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1012.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_56_6 = e1 & op(e1, e3) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3092) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_56_6 = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3078), (3093) imply:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) e2 = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3094) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) e2 = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3095) imply:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_56_14 = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (158), (208), (389), (2897),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073), (3096), (function-axioms) are inconsistent
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #853.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_56_12 = e1 & op(e0, e3) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3097) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) op(e0, e3) = e1
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (209), (3082), (3087),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089), (3098), (function-axioms) are inconsistent
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #858.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3099) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (3073), (3082), (3087), (3100) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #852.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (158), (208), (387), (389),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897), (3073), (3101), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #851.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_56_15 = e2 & op(e0, e0) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3102) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) op(e0, e0) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3103), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_56_12 = e2 & op(e0, e3) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3104) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) op(e0, e3) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3074), (3105), (function-axioms) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1039.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (2852), (2916), (3106) are
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_30_2 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (3107) imply:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_4_2 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (3108) imply:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) ~ (all_52_1 = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (3108) imply:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) ~ (all_52_8 = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3108) imply:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) op(e3, e3) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (386), (2898), (3111),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112), (function-axioms) are inconsistent by
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1561.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3113) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_56_11 = e2 & op(e1, e0) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3114) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_56_11 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) op(e1, e0) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (386), (2897), (3111), (3117),
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_56_14 = e2 & op(e0, e1) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3119) implies:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) all_56_14 = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) op(e0, e1) = e2
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_0)
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3111), (3122), (function-axioms) are inconsistent
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #850.
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3123) implies:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) ~ (all_24_1 = e0)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) op(e3, e1) = all_24_1
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (3121) gives:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_52_11 = e2
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (3116) gives:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_52_14 = e2
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_1, e1, e3, simplifying with (169), (3125)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) all_52_8 = all_24_1
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (3128) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_54_2 = all_24_1
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2910), (3126) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_57_27 = e2
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2913), (3128) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_57_17 = all_24_1
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3127) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) ~ (all_52_2 = e2)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3128) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) ~ (all_52_9 = all_24_1)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3133) implies:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) ~ (all_52_9 = all_24_1)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2839), (3128) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) ~ (all_24_1 = e3)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3110), (3128) imply:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) ~ (all_24_1 = e2)
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 176.29/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_54_2 = e3
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3137) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_24_1 = e3
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3138) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) all_24_1 = e3
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3135), (3139) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) $false
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3140) is inconsistent.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) ~ (all_54_2 = e3)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3142) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_54_2 = e2
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3143) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_24_1 = e2
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3144) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) all_24_1 = e2
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3136), (3145) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) $false
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3146) is inconsistent.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) ~ (all_54_2 = e2)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_54_2 = e1 | all_54_2 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_54_2 = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3149) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_24_1 = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3150) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_24_1 = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3131), (3151) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_57_17 = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3134), (3151) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) ~ (all_52_9 = e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3135), (3151) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) ~ (e3 = e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3136), (3151) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) ~ (e2 = e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3156) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_56_9 = e1 & op(e3, e0) = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (2839), (3111), (3124), (3125), (3157),
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #848.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_10 = e1 & op(e2, e0) = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3158) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_56_10 = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) op(e2, e0) = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_54_6 = e3
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (2840), (3161) are inconsistent by
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) ~ (all_54_6 = e3)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_54_6 = e2
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (2914), (3164) are inconsistent by
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1241.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) ~ (all_54_6 = e2)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_54_6 = e1 | all_54_6 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3166) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_54_6 = e1
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (3153), (3167) are inconsistent by
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #940.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_54_6 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (3168) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_52_9 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3169) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_52_9 = e0
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3170) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) ~ (all_52_1 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3170) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) ~ (all_52_13 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3172) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) ~ (all_52_13 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2914), (3170) imply:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) ~ (e2 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3176) gives:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3177) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) ~ (all_57_2 = e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) op(e3, all_57_17) = all_57_2
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2877), (3152), (3178), (3179), (function-axioms)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #847.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3180) implies:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) op(e3, e1) = e3
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2839), (3181), (function-axioms) are
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2895), (3152), (3182), (function-axioms)
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #846.
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3183) gives:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (2867), (2897), (2914), (3184),
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3185) gives:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3186) implies:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) ~ (all_57_30 = e3)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2911), (3187) imply:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) $false
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3188) is inconsistent.
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) op(e2, e1) = e1
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3153), (3191), (function-axioms) are
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3192) implies:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3193) gives:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3130), (3194) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #845.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3195) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) ~ (all_57_14 = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) op(e0, e2) = all_57_26
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) op(e0, e3) = all_57_25
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) op(e0, all_57_27) = all_57_14
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3130), (3199) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) op(e0, e2) = all_57_14
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_56_2 = e3 & op(e2, e3) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) op(e2, e3) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14, e2, e0, simplifying with (158), (3201)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_57_14 = all_52_7
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_26,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14, e2, e0, simplifying with (3197), (3201)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_57_14 = all_57_26
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (3198)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_57_25 = all_52_3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (3160) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_52_13 = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3204) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_52_1 = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3205), (3206) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_57_26 = all_52_7
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3196), (3205) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) ~ (all_52_7 = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (3208) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) ~ (all_6_2 = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3213) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_56_12 = e1 & op(e0, e3) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3214) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) op(e0, e3) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (3171), (3216),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #929.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3217) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_56_6 = e0 & op(e1, e3) = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3218) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) op(e1, e3) = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3220) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_56_1 = e1 & op(e3, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (2839), (3111), (3124), (3125), (3221),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #844.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_56_3 = e1 & op(e2, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3222) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) op(e2, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2900), (3223), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3224) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_56_7 = e1 & op(e1, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3225) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) op(e1, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3215) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_52_3 = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3226) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_52_6 = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (3219) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_52_2 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3228), (3229) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) ~ (e1 = e0)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (164), (2909), (3121), (3130),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173), (3193), (3198), (3200), (3215),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #842.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_56_13 = e1 & op(e0, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3231) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_56_13 = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (206), (209),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120), (3215), (3232), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #857.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) all_56_12 = e0 & op(e0, e3) = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3233) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) op(e0, e3) = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3215), (3234), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_56_13 = e1 & op(e0, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3235) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) op(e0, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3211), (3236), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #841.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3121), (3237),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_56_3 = e3 & op(e2, e2) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3238) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) op(e2, e2) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2900), (3239), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_56_5 = e3 & op(e2, e1) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3241) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) op(e2, e1) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3242), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) all_56_10 = e3 & op(e2, e0) = e3
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3159), (3243) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1141.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3115), (3244),
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1139.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_54_2 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3245) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_24_1 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3246) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_24_1 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3124), (3247) imply:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) $false
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3248) is inconsistent.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_56_15 = e2 & op(e0, e0) = e2
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3249) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) op(e0, e0) = e2
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3250), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_56_15 = e2 & op(e0, e0) = e2
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3251) implies:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) op(e0, e0) = e2
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3252), (function-axioms) are
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (3253) all_54_5 = e1 | all_54_5 = e0
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (2857), (3253) are inconsistent by
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | End of split
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | (3254) all_28_2 = e1
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | COMBINE_EQS: (329), (3254) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3255) all_10_2 = e1
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | COMBINE_EQS: (313), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3256) all_46_2 = e1
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (362), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3257) ~ (all_52_1 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (365), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3258) ~ (all_52_4 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (367), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3259) ~ (all_52_6 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (369), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3260) ~ (all_52_7 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (371), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3261) ~ (all_52_9 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (373), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3262) ~ (all_52_13 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (390), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3263) ~ (e3 = e1)
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | REDUCE: (45), (3255) imply:
% 176.29/26.40 | | | | | | | | | | | | | (3264) op(e2, e2) = e1
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | BETA: splitting (100) gives:
% 176.29/26.40 | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | Case 1:
% 176.29/26.40 | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | (3265) ~ (all_46_2 = e1)
% 176.29/26.40 | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | REDUCE: (3256), (3265) imply:
% 176.29/26.40 | | | | | | | | | | | | | | (3266) $false
% 176.29/26.40 | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | | CLOSE: (3266) is inconsistent.
% 176.29/26.40 | | | | | | | | | | | | | |
% 176.29/26.40 | | | | | | | | | | | | | Case 2:
% 176.29/26.40 | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | (3267) ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 176.29/26.41 | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2)
% 176.29/26.41 | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 176.29/26.41 | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | BETA: splitting (3267) gives:
% 176.29/26.41 | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | (3268) ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 176.29/26.41 | | | | | | | | | | | | | | | $i(all_46_0)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | ALPHA: (3268) implies:
% 176.29/26.41 | | | | | | | | | | | | | | | (3269) ~ (all_46_0 = e3)
% 176.29/26.41 | | | | | | | | | | | | | | | (3270) op(e1, e1) = all_46_0
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_46_0,
% 176.29/26.41 | | | | | | | | | | | | | | | e1, e1, simplifying with (2843), (3270) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | (3271) all_46_0 = e3
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | REDUCE: (3269), (3271) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3272) $false
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | CLOSE: (3272) is inconsistent.
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | Case 2:
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | (3273) ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 176.29/26.41 | | | | | | | | | | | | | | | $i(all_46_1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | ALPHA: (3273) implies:
% 176.29/26.41 | | | | | | | | | | | | | | | (3274) ~ (all_46_1 = e0)
% 176.29/26.41 | | | | | | | | | | | | | | | (3275) op(e1, e2) = all_46_1
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 176.29/26.41 | | | | | | | | | | | | | | | all_46_1, e2, e1, simplifying with (162), (3275)
% 176.29/26.41 | | | | | | | | | | | | | | | gives:
% 176.29/26.41 | | | | | | | | | | | | | | | (3276) all_52_6 = all_46_1
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | COMBINE_EQS: (273), (3276) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3277) all_54_9 = all_46_1
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | REDUCE: (136), (3276) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3278) ~ (all_52_4 = all_46_1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | REDUCE: (128), (3276) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3279) ~ (all_52_7 = all_46_1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | SIMP: (3279) implies:
% 176.29/26.41 | | | | | | | | | | | | | | | (3280) ~ (all_52_7 = all_46_1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | REDUCE: (126), (3276) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3281) ~ (all_52_14 = all_46_1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | SIMP: (3281) implies:
% 176.29/26.41 | | | | | | | | | | | | | | | (3282) ~ (all_52_14 = all_46_1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | REDUCE: (2838), (3276) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3283) ~ (all_46_1 = e3)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | REDUCE: (3259), (3276) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | (3284) ~ (all_46_1 = e1)
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 176.29/26.41 | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | (3285) all_54_9 = e3
% 176.29/26.41 | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | REF_CLOSE: (3277), (3283), (3285) are inconsistent by
% 176.29/26.41 | | | | | | | | | | | | | | | | sub-proof #840.
% 176.29/26.41 | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41 | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | (3286) ~ (all_54_9 = e3)
% 176.29/26.41 | | | | | | | | | | | | | | | | (3287) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 176.29/26.41 | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | BETA: splitting (3287) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3288) all_54_9 = e2
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | COMBINE_EQS: (3277), (3288) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3289) all_46_1 = e2
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | SIMP: (3289) implies:
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3290) all_46_1 = e2
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | REDUCE: (3278), (3290) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3291) ~ (all_52_4 = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | REDUCE: (3280), (3290) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3292) ~ (all_52_7 = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | REDUCE: (3282), (3290) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3293) ~ (all_52_14 = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | REDUCE: (3283), (3290) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | (3294) ~ (e3 = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | (3295) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 176.29/26.41 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3264), (3291), (3295),
% 176.29/26.41 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.41 | | | | | | | | | | | | | | | | | | #1136.
% 176.29/26.41 | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41 | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | (3296) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | (3297) all_56_7 = e2 & op(e1, e2) = e2
% 176.29/26.41 | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | ALPHA: (3297) implies:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | (3298) all_56_7 = e2
% 176.29/26.41 | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | (3299) ~ (all_30_2 = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (3299) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | (3300) ~ (all_4_2 = e2)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | (3301) all_54_0 = e3
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (3301) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | (3302) all_4_2 = e3
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (3302) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | (3303) ~ (all_52_4 = e3)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (3302) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | (3304) ~ (all_52_12 = e3)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3302) imply:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | (3305) op(e3, e3) = e3
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | (3306) all_54_1 = e3
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3303), (3306) are inconsistent by
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1344.
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | (3307) ~ (all_54_1 = e3)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | (3308) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | (3309) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3309) gives:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (3310) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (3303), (3310),
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (3311) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (170), (3291), (3304), (3311),
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | | #839.
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | (3312) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.29/26.41 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3312) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3313) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3264), (3292), (3313), (function-axioms)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3314) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3314) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3315) implies:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (3316) op(e1, e3) = e1
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_54_1 = e2
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3317) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_52_4 = e2
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3291), (3318) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) $false
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3319) is inconsistent.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_54_1 = e1 | all_54_1 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_54_1 = e1
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3321) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) all_52_4 = e1
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3258), (3322) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) $false
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3323) is inconsistent.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_54_1 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3324) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_52_4 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3325) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) ~ (all_52_7 = e0)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3326) implies:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) ~ (all_52_7 = e0)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_54_13 = e3
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3328) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_52_7 = e3
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3329) implies:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_52_7 = e3
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3330) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) ~ (all_6_2 = e3)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3331) implies:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) ~ (all_6_2 = e3)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_54_15 = e3
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (3332), (3333) are inconsistent by
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3334) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_54_15 = e2
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (3335) are inconsistent by sub-proof
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_54_15 = e1 | all_54_15 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3336) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_54_15 = e1
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (3337) are inconsistent by sub-proof
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_54_15 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3338) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_6_2 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3339) implies:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_6_2 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (3340) imply:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) ~ (all_52_14 = e0)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_54_11 = e3
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (2842), (3342) are inconsistent by
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3343) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) all_54_11 = e2
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (3293), (3344) are inconsistent by
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_54_11 = e1 | all_54_11 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (265), (3316), (3341), (3345),
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3260), (3292), (3327), (3346) are
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (3347) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3347) gives:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3348) implies:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) op(e2, e1) = e1
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3261), (3349), (function-axioms) are
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3350) implies:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) op(e0, e1) = all_57_27
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3353) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_56_2 = e3 & op(e2, e3) = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (229), (231), (233),
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (3292), (3305), (3354),
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #991.
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_56_3 = e3 & op(e2, e2) = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3355) implies:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) op(e2, e2) = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3264), (3356), (function-axioms) are
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3357) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_56_5 = e3 & op(e2, e1) = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3358) implies:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) op(e2, e1) = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3359), (function-axioms) are
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_56_10 = e3 & op(e2, e0) = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3360) implies:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_56_10 = e3
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3362) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_56_9 = e2 & op(e3, e0) = e2
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3363) implies:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) all_56_9 = e2
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_56_9 = e1 & op(e3, e0) = e1
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3364), (3366) are inconsistent by sub-proof
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_56_10 = e1 & op(e2, e0) = e1
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.29/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3367) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) op(e2, e0) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3262), (3368), (function-axioms) are
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_56_11 = e1 & op(e1, e0) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3370) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_56_11 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3372) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_56_6 = e0 & op(e1, e3) = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3373) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) op(e1, e3) = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3375) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_57_27 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3351), (3376) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) op(e0, e1) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (3257), (3305), (3378),
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1094.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3379) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_56_6 = e1 & op(e1, e3) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3380) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) op(e1, e3) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3374), (3381), (function-axioms) are
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_56_12 = e1 & op(e0, e3) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3382) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_56_12 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_56_12 = e2 & op(e0, e3) = e2
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3385) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_56_12 = e2
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3383), (3386) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) e2 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3364), (3387) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_56_9 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (3361), (3371),
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388), (function-axioms) are inconsistent by
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #954.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_56_13 = e2 & op(e0, e2) = e2
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3389) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) op(e0, e2) = e2
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3390), (function-axioms) are
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (3377), (3391),
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #837.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3392) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) ~ (all_57_15 = e0)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) op(e0, all_57_31) = all_57_15
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2850), (3394) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) op(e0, all_6_2) = all_57_15
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_54_1 = e2
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3291), (3396) are inconsistent by
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_54_1 = e1 | all_54_1 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3397) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_54_1 = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3258), (3398) are inconsistent by
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_54_1 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3399) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_52_4 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3400) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_52_4 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3401) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) ~ (all_52_7 = e0)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3402) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) ~ (all_52_7 = e0)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_54_13 = e3
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3404) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_52_7 = e3
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3405) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) all_52_7 = e3
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3406) imply:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) ~ (all_6_2 = e3)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3407) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) ~ (all_6_2 = e3)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (3393), (3395),
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408), (function-axioms) are inconsistent by
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3260), (3292), (3403), (3409) are
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_56_7 = e0 & op(e1, e2) = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3410) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) op(e1, e2) = e0
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3274), (3275), (3411), (function-axioms) are
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #836.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (2843), (3371), (3412),
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #835.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_56_15 = e1 & op(e0, e0) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3413) implies:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) op(e0, e0) = e1
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3414), (function-axioms) are
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_56_10 = e2 & op(e2, e0) = e2
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3361), (3415) are inconsistent by sub-proof
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1502.
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.53/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (162), (213),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (389), (2843), (3259), (3274), (3275),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416), (function-axioms) are inconsistent by
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #832.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | (3417) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (2852), (3300), (3417) are
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | (3418) all_30_2 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | (3419) ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (3418) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | (3420) all_4_2 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | SIMP: (3420) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | (3421) all_4_2 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3421) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | (3422) op(e3, e3) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3419) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | (3423) ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3264), (3423), (function-axioms) are inconsistent
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1292.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | (3424) ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3424) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | (3425) ~ (all_30_1 = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | (3426) op(e2, e3) = all_30_1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | (3427) ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3422), (3427), (function-axioms) are inconsistent
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #850.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | (3428) ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3428) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | (3429) ~ (all_24_1 = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | (3430) op(e3, e1) = all_24_1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | (3431) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | (3432) all_56_9 = e2 & op(e3, e0) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (386), (3422), (3432),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | #1563.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_56_10 = e2 & op(e2, e0) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3433) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_56_10 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | (3435) op(e2, e0) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | (3436) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) all_56_2 = e3 & op(e2, e3) = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3437) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_56_2 = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) op(e2, e3) = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3264), (3439), (3440),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #831.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_56_5 = e0 & op(e2, e1) = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3442) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_56_5 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3444) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_56_12 = e2 & op(e0, e3) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3445) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) all_56_12 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (3422), (3439), (3446),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) all_56_13 = e2 & op(e0, e2) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3447) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) op(e0, e2) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3448), (function-axioms) are
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3449) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_56_14 = e2 & op(e0, e1) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3450) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_56_14 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) op(e0, e1) = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3453) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_56_12 = e1 & op(e0, e3) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3454) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) op(e0, e3) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (3439), (3456),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_56_6 = e0 & op(e1, e3) = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3458) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) all_56_6 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) op(e1, e3) = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (3259), (3460), (3461),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #833.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_56_8 = e1 & op(e1, e1) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3463) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) op(e1, e1) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (3464), (function-axioms) are
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) all_56_11 = e1 & op(e1, e0) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3465) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_56_11 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) op(e1, e0) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_56_4 = e1 & op(e3, e1) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) op(e3, e1) = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (3452) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_52_11 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3455) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_52_3 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (3467) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) all_52_14 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (3460) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_52_2 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (3435) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_52_13 = e2
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3439) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_52_1 = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e3, e2, simplifying with (167), (3426)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_52_1 = all_30_1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (3470) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_52_8 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_1, e1, e3, simplifying with (169), (3430)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_52_8 = all_24_1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3476), (3477) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_30_1 = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3478), (3479) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) all_24_1 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3481) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_24_1 = e1
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3475) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) ~ (all_52_12 = e2)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3473) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) ~ (all_52_12 = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (3473) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) ~ (all_6_2 = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3293), (3473) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) ~ (e2 = e1)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (3264), (3487),
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3488) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_57_30 = e0 & op(e1, e1) = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3489) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) op(e1, e1) = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3490), (function-axioms) are
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3491) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_57_31 = e0 & op(e0, e0) = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3492) implies:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_57_31 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (3493) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_6_2 = e0
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (3494) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) ~ (all_52_12 = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (3494) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) ~ (e1 = e0)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_54_3 = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (3497) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_52_12 = e3
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3498) imply:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) ~ (all_52_4 = e3)
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3500) gives:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (3499), (3501),
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3502) gives:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3503) implies:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) op(e0, e3) = e3
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (3455), (3504), (function-axioms) are
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3505) implies:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) op(e3, e2) = e2
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3291), (3506), (function-axioms) are
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3439), (3508), (function-axioms)
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #830.
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3509) gives:
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3510) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) op(e1, e3) = e1
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3460), (3511), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) op(e2, e1) = e1
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3261), (3514), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3515) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) op(e0, e1) = all_57_27
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3452), (3493), (3516), (3517),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #861.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (3483), (3484), (3495), (3518) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #826.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3519) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) ~ (all_57_21 = e2)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) op(e2, e0) = all_57_21
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3435), (3520), (3521), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) all_56_5 = e1 & op(e2, e1) = e1
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3522) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) op(e2, e1) = e1
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3261), (3523), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (3452),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459), (3466), (3524), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #822.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) all_56_12 = e0 & op(e0, e3) = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3525) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) op(e0, e3) = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3455), (3526), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3527) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_56_13 = e1
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3529) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_56_1 = e3 & op(e3, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_56_1 = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3264), (3531), (3532),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1032.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_56_7 = e0 & op(e1, e2) = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) op(e1, e2) = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3274), (3275), (3535), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #836.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_56_13 = e0 & op(e0, e2) = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3528), (3536) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_56_3 = e3 & op(e2, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3537) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) op(e2, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3264), (3538), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3539) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_56_7 = e3 & op(e1, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3540) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_56_7 = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3298), (3541) imply:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) e3 = e2
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3542) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) e3 = e2
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3438), (3543) imply:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_56_2 = e2
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (3264), (3434), (3443),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544), (function-axioms) are inconsistent by
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3545) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_56_13 = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3528), (3546) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3451), (3547),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1458.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_56_15 = e2 & op(e0, e0) = e2
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3548) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) op(e0, e0) = e2
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3549), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) all_56_10 = e0 & op(e2, e0) = e0
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3434), (3550) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #821.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_56_3 = e3 & op(e2, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3551) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) op(e2, e2) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3264), (3552), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | (3553) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3553) gives:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) all_56_5 = e3 & op(e2, e1) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3554) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) op(e2, e1) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3555), (function-axioms) are
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_56_10 = e3 & op(e2, e0) = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3556) implies:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_56_10 = e3
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3434), (3557) are inconsistent by sub-proof
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | (3558) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (162), (213),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | (214), (389), (2843), (3259), (3274), (3275),
% 176.59/26.46 | | | | | | | | | | | | | | | | | | | | | | | (3558), (function-axioms) are inconsistent by
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #832.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3559) all_56_13 = e2 & op(e0, e2) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | ALPHA: (3559) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3560) op(e0, e2) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3560), (function-axioms) are
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | (3561) all_54_9 = e1 | all_54_9 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (3274), (3277), (3284), (3561) are inconsistent by
% 176.59/26.47 | | | | | | | | | | | | | | | | | sub-proof #820.
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | (3562) all_18_2 = e1
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | COMBINE_EQS: (342), (3562) imply:
% 176.59/26.47 | | | | | | | | | | | (3563) all_4_2 = e1
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | SIMP: (3563) implies:
% 176.59/26.47 | | | | | | | | | | | (3564) all_4_2 = e1
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (351), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3565) ~ (all_52_1 = e1)
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (353), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3566) ~ (all_52_2 = e1)
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (355), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3567) ~ (all_52_3 = e1)
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (357), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3568) ~ (all_52_4 = e1)
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (359), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3569) ~ (all_52_8 = e1)
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (361), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3570) ~ (all_52_12 = e1)
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | REDUCE: (36), (3564) imply:
% 176.59/26.47 | | | | | | | | | | | (3571) op(e3, e3) = e1
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | BETA: splitting (73) gives:
% 176.59/26.47 | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | (3572) ~ (all_28_2 = e1)
% 176.59/26.47 | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | REDUCE: (329), (3572) imply:
% 176.59/26.47 | | | | | | | | | | | | (3573) ~ (all_10_2 = e1)
% 176.59/26.47 | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | BETA: splitting (199) gives:
% 176.59/26.47 | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | (3574) all_54_5 = e3
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | COMBINE_EQS: (283), (3574) imply:
% 176.59/26.47 | | | | | | | | | | | | | (3575) all_10_2 = e3
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | REDUCE: (390), (3575) imply:
% 176.59/26.47 | | | | | | | | | | | | | (3576) $false
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | CLOSE: (3576) is inconsistent.
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | (3577) ~ (all_54_5 = e3)
% 176.59/26.47 | | | | | | | | | | | | | (3578) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 176.59/26.47 | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | (3579) all_54_5 = e2
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | COMBINE_EQS: (283), (3579) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3580) all_10_2 = e2
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (362), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3581) ~ (all_52_1 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (365), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3582) ~ (all_52_4 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (367), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3583) ~ (all_52_6 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (369), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3584) ~ (all_52_7 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (371), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3585) ~ (all_52_9 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (373), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3586) ~ (all_52_13 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (390), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3587) ~ (e3 = e2)
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | REDUCE: (45), (3580) imply:
% 176.59/26.47 | | | | | | | | | | | | | | (3588) op(e2, e2) = e2
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 176.59/26.47 | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | (3589) ~ (all_32_2 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | REDUCE: (344), (3589) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | (3590) ~ (all_6_2 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 176.59/26.47 | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | (3591) all_54_15 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3591) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | (3592) all_6_2 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | REDUCE: (3590), (3592) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | (3593) $false
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | CLOSE: (3593) is inconsistent.
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | (3594) ~ (all_54_15 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | (3595) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | BETA: splitting (3595) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | (3596) all_54_15 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3596) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | (3597) all_6_2 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | REDUCE: (389), (3597) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | (3598) $false
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | CLOSE: (3598) is inconsistent.
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | (3599) ~ (all_54_15 = e2)
% 176.59/26.47 | | | | | | | | | | | | | | | | | (3600) all_54_15 = e1 | all_54_15 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | BETA: splitting (3600) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3601) all_54_15 = e1
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3601) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3602) all_6_2 = e1
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (387), (3602) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3603) $false
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | CLOSE: (3603) is inconsistent.
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3604) all_54_15 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3604) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3605) all_6_2 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3606) all_57_31 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (364), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3607) ~ (all_52_3 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (375), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3608) ~ (all_52_7 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (382), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3609) ~ (all_52_11 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (383), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3610) ~ (all_52_12 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (384), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3611) ~ (all_52_13 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (385), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3612) ~ (all_52_14 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (3590), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3613) ~ (e3 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (389), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3614) ~ (e2 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | REDUCE: (387), (3605) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | (3615) ~ (e1 = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3616) all_54_1 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3616) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3617) all_52_4 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | SIMP: (3617) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3618) all_52_4 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3618) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3619) ~ (all_52_6 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3618) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3620) ~ (all_52_7 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | SIMP: (3620) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3621) ~ (all_52_7 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3618) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3622) ~ (all_52_8 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3618) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3623) ~ (all_52_12 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | SIMP: (3623) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | (3624) ~ (all_52_12 = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | (3625) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | (3626) all_56_0 = e3 & op(e3, e3) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3626) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | (3627) op(e3, e3) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3571), (3627), (function-axioms) are
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | (3628) all_56_1 = e3 & op(e3, e2) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3628) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | (3629) all_56_1 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | (3630) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3630) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3631) all_56_9 = e3 & op(e3, e0) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3631) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3632) op(e3, e0) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3624), (3632), (function-axioms) are
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3633) all_56_10 = e3 & op(e2, e0) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3633) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3634) all_56_10 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3635) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3635) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3636) all_56_0 = e0 & op(e3, e3) = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3636) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3637) op(e3, e3) = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (3637), (function-axioms) are
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_56_1 = e0 & op(e3, e2) = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3629), (3638) are inconsistent by sub-proof
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | #1033.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3639) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3639) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_56_4 = e0 & op(e3, e1) = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3640) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3641) all_56_4 = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3642) op(e3, e1) = e0
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3643) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3641), (3644) are inconsistent by sub-proof
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_56_5 = e2 & op(e2, e1) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3645) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) all_56_5 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) op(e2, e1) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3571), (3582), (3648),
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3650) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_56_4 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3641), (3651) are inconsistent by sub-proof
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_56_9 = e2 & op(e3, e0) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3652) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_56_9 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571), (3629), (3634), (3641), (3642), (3653),
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654), (function-axioms) are inconsistent by
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #819.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3655) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_56_11 = e1 & op(e1, e0) = e1
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3656) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) all_56_11 = e1
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3658) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_56_6 = e2 & op(e1, e3) = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3659) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_56_6 = e2
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) all_56_12 = e3 & op(e0, e3) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3662) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_56_12 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (230), (386), (3629),
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647), (3653), (3664), (function-axioms) are
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1009.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (158), (208), (389), (2843),
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584), (3663), (3665), (function-axioms) are
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3666) implies:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_56_13 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_54_13 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3668) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_52_7 = e3
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (3669) imply:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) $false
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3670) is inconsistent.
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3672) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) all_56_1 = e1 & op(e3, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3673) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_56_1 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3571), (3642),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3674), (function-axioms) are inconsistent
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_56_3 = e1 & op(e2, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3675) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) op(e2, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3588), (3676), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3677) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_56_7 = e1 & op(e1, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3678) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) op(e1, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3680) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_56_6 = e0 & op(e1, e3) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3681) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_56_6 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3660), (3682) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) e2 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3653), (3683) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_56_9 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (164), (210), (211),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (3586), (3634), (3684),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_56_7 = e0 & op(e1, e2) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3685) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) op(e1, e2) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3679), (3686), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #863.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_56_8 = e0 & op(e1, e1) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3688) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) op(e1, e1) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3689), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_56_11 = e0 & op(e1, e0) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3690) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) op(e1, e0) = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (2838),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583), (3584), (3608), (3671), (3691),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3692) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_56_13 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3667), (3693) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) e3 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3629), (3694) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_56_1 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3571), (3642),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3695), (function-axioms) are inconsistent
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (206), (218),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (2843), (3611), (3641), (3653), (3657),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (function-axioms) are inconsistent by
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #812.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_56_7 = e2 & op(e1, e2) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3697) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) op(e1, e2) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3583), (3698), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3699) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_56_8 = e2 & op(e1, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3700) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) op(e1, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (3641),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (3701), (function-axioms) are inconsistent
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_56_11 = e2 & op(e1, e0) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3702) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_56_11 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (169),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (230), (234), (236), (386), (387),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (3571), (3634), (3653), (3703),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #810.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_56_15 = e1 & op(e0, e0) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3704) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) op(e0, e0) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3705), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_56_8 = e2 & op(e1, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) op(e1, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (3708), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) all_56_14 = e2 & op(e0, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3709) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_56_14 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) op(e0, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3571), (3582), (3712),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_56_4 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3641), (3715) are inconsistent by sub-proof
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_56_9 = e2 & op(e3, e0) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3716) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_56_9 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571), (3629), (3634), (3641), (3642), (3717),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718), (function-axioms) are inconsistent by
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #819.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3719) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_56_11 = e1 & op(e1, e0) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3720) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_56_11 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3722) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_56_6 = e2 & op(e1, e3) = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3723) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_56_6 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3725) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_56_12 = e1 & op(e0, e3) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3567), (3726), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3727) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_56_13 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3729) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_56_12 = e3 & op(e0, e3) = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3730) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_56_12 = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_54_13 = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3732) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_52_7 = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (3733) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) $false
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3734) is inconsistent.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3736) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_56_2 = e1 & op(e2, e3) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (3724), (3731),
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737), (function-axioms) are inconsistent by
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1013.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_56_3 = e1 & op(e2, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3738) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) op(e2, e2) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3588), (3739), (function-axioms) are
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_56_5 = e1 & op(e2, e1) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) op(e2, e1) = e1
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_54_3 = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (3624), (3743) are inconsistent by
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #809.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3735) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_54_13 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3584), (3745) are inconsistent by
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) ~ (all_54_13 = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_54_13 = e1 | all_54_13 = e0
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3744) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_54_3 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (3748) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_52_12 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3749) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_52_12 = e2
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3750) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) ~ (all_52_8 = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3750) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) ~ (all_52_13 = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3750) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) ~ (all_52_14 = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3753) implies:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) ~ (all_52_14 = e2)
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_54_11 = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (3755) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_52_14 = e3
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (3756) imply:
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) $false
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3757) is inconsistent.
% 176.59/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_54_2 = e3
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2839), (3759) are inconsistent by
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) ~ (all_54_2 = e3)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3758) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_54_11 = e2
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (3762) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_52_14 = e2
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3754), (3763) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) $false
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3764) is inconsistent.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_54_11 = e1 | all_54_11 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3761) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_54_2 = e2
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (3751), (3766) are inconsistent by
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1480.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_54_2 = e1 | all_54_2 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3747) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_54_13 = e1
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3768) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_52_7 = e1
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3769) implies:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_52_7 = e1
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3770) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) ~ (all_52_6 = e1)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3584), (3770) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) ~ (e2 = e1)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_54_12 = e3
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (3773) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_52_3 = e3
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3774) implies:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_52_3 = e3
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3775) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) ~ (all_52_1 = e3)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_54_4 = e3
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (3776), (3777) are inconsistent by
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1078.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) ~ (all_54_4 = e3)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3779) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_54_4 = e2
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (3581), (3780) are inconsistent by
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1084.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) ~ (all_54_4 = e2)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_54_4 = e1 | all_54_4 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3782) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_54_4 = e1
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (3565), (3783) are inconsistent by
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1083.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_54_4 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (3784) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_52_1 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3785) implies:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_52_1 = e0
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3786) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) ~ (all_52_9 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3787) implies:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) ~ (all_52_9 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3786) imply:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) ~ (all_52_13 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3790) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (284), (286), (2839), (3565),
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569), (3767), (3776), (3782), (3791),
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3792) gives:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) op(e3, e0) = e3
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (3586),
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611), (3612), (3765), (3794), (function-axioms)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #942.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3795) implies:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) op(e2, e3) = e2
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (3565), (3581), (3782), (3796),
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1077.
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.59/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3797) gives:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (198), (276), (3584), (3585),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788), (3798), (function-axioms) are inconsistent
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1038.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3799) gives:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3800) implies:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) op(e3, e1) = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (230), (386), (3629), (3717),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801), (function-axioms) are inconsistent by
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1568.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3802) gives:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3803) implies:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) op(e1, e2) = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3771), (3804), (function-axioms) are
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #834.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3805) implies:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) op(e0, e1) = all_57_27
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3606), (3711), (3806), (3807),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #861.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (165), (190), (262), (264), (2841),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567), (3607), (3609), (3742), (3808),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #805.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_54_13 = e0
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3608), (3809) are inconsistent by
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_54_3 = e1 | all_54_3 = e0
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (3570), (3610), (3810) are inconsistent by
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #827.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_56_10 = e1 & op(e2, e0) = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3811) implies:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_56_10 = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611), (3717), (3721), (3812), (function-axioms)
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1205.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_56_13 = e3
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3728), (3814) imply:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) e3 = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3815) implies:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) e3 = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3629), (3816) imply:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_56_1 = e1
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3571), (3642),
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717), (3817), (function-axioms) are inconsistent
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (206), (218),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (2843), (3611), (3641), (3717), (3721),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818), (function-axioms) are inconsistent by
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #812.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3711), (3819),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_56_7 = e2 & op(e1, e2) = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) op(e1, e2) = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3583), (3821), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_56_8 = e2 & op(e1, e1) = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) op(e1, e1) = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (217), (218),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (3710), (3824), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #976.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_56_11 = e2 & op(e1, e0) = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3825) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_56_11 = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (169),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (230), (234), (236), (386), (387),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (3571), (3634), (3717), (3826),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #810.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_56_15 = e1 & op(e0, e0) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3827) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) op(e0, e0) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3828), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_56_9 = e0 & op(e3, e0) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3829) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_56_9 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (164), (210), (211),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (3586), (3634), (3830),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | (3831) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3831) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | (3832) all_56_11 = e3 & op(e1, e0) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2842), (3832), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #804.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | (3833) all_56_15 = e3 & op(e0, e0) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3833) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | (3834) op(e0, e0) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (3590), (3600), (3834),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | (3835) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (2839), (3624), (3835),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | #803.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | (3836) ~ (all_54_1 = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | (3837) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | REDUCE: (287), (3836) imply:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | (3838) ~ (all_52_4 = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | (3839) all_54_1 = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3582), (3839) are inconsistent by
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | (3840) ~ (all_54_1 = e2)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | (3841) all_54_1 = e1 | all_54_1 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3841) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3842) all_54_1 = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3568), (3842) are inconsistent by
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3843) all_54_1 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3843) imply:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3844) all_52_4 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (3844) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3845) all_52_4 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3845) imply:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3846) ~ (all_52_6 = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (3846) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3847) ~ (all_52_6 = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3845) imply:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | (3848) ~ (all_52_7 = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | (3849) all_54_9 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2838), (3849) are inconsistent by
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | (3850) ~ (all_54_9 = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | (3851) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3851) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | (3852) all_54_9 = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (3583), (3852) are inconsistent by
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | (3853) all_54_9 = e1 | all_54_9 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | (3854) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3588), (3838), (3854),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | (3855) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3855) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_56_7 = e3 & op(e1, e2) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3856) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3857) op(e1, e2) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (273), (2838), (3847), (3853), (3857),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | #1218.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3858) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_56_13 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3571), (3838), (3860),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #802.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3861) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_56_4 = e3 & op(e3, e1) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3862) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) op(e3, e1) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2839), (3863), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_56_9 = e3 & op(e3, e0) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3864) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_56_9 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3866) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_56_2 = e0 & op(e2, e3) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3867) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) op(e2, e3) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3571), (3868), (3869),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1020.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3870) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_56_6 = e3 & op(e1, e3) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3871) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_56_6 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3873) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_56_6 = e0 & op(e1, e3) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3872), (3874) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #801.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) all_56_7 = e0 & op(e1, e2) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3847), (3875), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_56_8 = e0 & op(e1, e1) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3877) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) op(e1, e1) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3878), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_56_11 = e0 & op(e1, e0) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3879) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) all_56_11 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (2843),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872), (3880), (function-axioms) are inconsistent
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #799.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_56_12 = e3 & op(e0, e3) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (387), (389), (3584),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859), (3881), (function-axioms) are inconsistent
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #798.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_56_3 = e0 & op(e2, e2) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3882) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) op(e2, e2) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3588), (3883), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3884) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_56_5 = e0 & op(e2, e1) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3885) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_56_5 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3887) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) all_56_2 = e1 & op(e2, e3) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3565), (3888), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_56_3 = e1 & op(e2, e2) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3889) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) op(e2, e2) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3588), (3890), (function-axioms) are
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3891) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_56_5 = e1 & op(e2, e1) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3892) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_56_5 = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3886), (3893) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) all_56_10 = e1 & op(e2, e0) = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3894) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) all_56_10 = e1
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3571), (3582), (3896),
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3897) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3898) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_56_4 = e2
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3900) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) all_56_6 = e0 & op(e1, e3) = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3901) implies:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) all_56_6 = e0
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3903) gives:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) all_56_2 = e3 & op(e2, e3) = e3
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3904) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) op(e2, e3) = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_56_12 = e1 & op(e0, e3) = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3567), (3907), (function-axioms) are
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3908) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) all_56_13 = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3859), (3909) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) e3 = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (3910) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_56_9 = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (3571), (3899), (3911),
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_56_14 = e1 & op(e0, e1) = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3913) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) op(e0, e1) = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224),
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571), (3588), (3895), (3915), (function-axioms)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1099.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3916) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3916) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) all_56_6 = e2 & op(e1, e3) = e2
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3917) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_56_6 = e2
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3902), (3918) are inconsistent by sub-proof
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) all_56_12 = e2 & op(e0, e3) = e2
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3919) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) op(e0, e3) = e2
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3853) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_54_9 = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (3921) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) all_52_6 = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3922) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) all_52_6 = e1
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3923) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) ~ (all_52_7 = e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3924) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) ~ (all_52_7 = e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3923) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) ~ (all_52_14 = e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3926) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) ~ (all_52_14 = e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) all_54_11 = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (3928) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_52_14 = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (3929) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) $false
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3930) is inconsistent.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_54_13 = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3932) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) all_52_7 = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3933) implies:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) all_52_7 = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3934) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) ~ (all_52_3 = e3)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3934) imply:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) ~ (all_52_11 = e3)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_54_12 = e3
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (3935), (3937) are inconsistent by
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3939) gives:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (3838), (3940),
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3582), (3920), (3941),
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #876.
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3942) gives:
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.86/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3584), (3905), (3943), (function-axioms)
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #830.
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.86/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3944) gives:
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.86/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3945) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) op(e3, e1) = e1
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (2841),
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567), (3607), (3609), (3938), (3946),
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1254.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3947) gives:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3948) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) op(e2, e1) = e1
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (165), (190), (262), (264), (2841),
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567), (3607), (3609), (3938), (3949),
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #805.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3950) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) op(e0, e1) = all_57_27
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (265), (3612), (3914), (3927),
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931), (3951), (3952), (function-axioms) are
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1035.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3584), (3608), (3925), (3953) are
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) all_54_9 = e0
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (3847), (3954) are inconsistent by
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1321.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3955) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) op(e0, e0) = e1
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3956), (function-axioms) are
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) all_56_3 = e3 & op(e2, e2) = e3
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3957) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) op(e2, e2) = e3
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3588), (3958), (function-axioms) are
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3959) gives:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) all_56_5 = e3 & op(e2, e1) = e3
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3960) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) op(e2, e1) = e3
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3961), (function-axioms) are
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_56_10 = e3 & op(e2, e0) = e3
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3962) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_56_10 = e3
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3895), (3963) imply:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) e3 = e1
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3964) implies:
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) e3 = e1
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (3965) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_56_9 = e1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (3571), (3899), (3966),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) all_56_7 = e0 & op(e1, e2) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3847), (3967), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (2843), (3612), (3968),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3969) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) all_56_9 = e2
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3865), (3970) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) all_56_10 = e0 & op(e2, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3971) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) op(e2, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3611), (3972), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1504.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | End of split
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | (3973) all_32_2 = e3
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | COMBINE_EQS: (344), (3973) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | (3974) all_6_2 = e3
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | SIMP: (3974) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | (3975) all_6_2 = e3
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | COMBINE_EQS: (311), (3975) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | (3976) all_38_2 = e3
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | REDUCE: (383), (3975) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | (3977) ~ (all_52_12 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | REDUCE: (39), (3975) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | (3978) op(e0, e0) = e3
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 177.19/26.58 | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | (3979) ~ (all_38_2 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | REDUCE: (3976), (3979) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | (3980) $false
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | CLOSE: (3980) is inconsistent.
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | (3981) ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 177.19/26.58 | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | (3982) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | BETA: splitting (3982) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | (3983) all_56_1 = e3 & op(e3, e2) = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | ALPHA: (3983) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | (3984) op(e3, e2) = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | (3985) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (3588), (3985),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | #1585.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | (3986) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | (3987) all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | ALPHA: (3987) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | (3988) op(e1, e1) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3988), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | (3989) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3989) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | (3990) all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3990) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | (3991) op(e0, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (3991), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | (3992) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3992) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | (3993) ~ (all_57_21 = e2)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | (3994) op(e2, e0) = all_57_21
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | (3995) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3995) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | (3996) all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3996) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | (3997) op(e3, e3) = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3571), (3997), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | (3998) all_56_2 = e3 & op(e2, e3) = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | (3999) op(e2, e3) = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (4000) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (3588), (4000),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (4001) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4001) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4002) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (4003) op(e1, e1) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (4003), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (4004) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4004) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4005) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) op(e0, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (4006), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4007) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) ~ (all_57_24 = e1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) op(e1, e0) = all_57_24
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3981) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4010) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) ~ (all_38_0 = e1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) op(e3, e3) = all_38_0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3571), (4011), (4012), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1056.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4013) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) ~ (all_38_1 = e2)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) op(e3, e0) = all_38_1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (3588), (4016),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4017) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4018) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) op(e1, e1) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (4019), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4021) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) op(e0, e0) = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (4022), (function-axioms) are
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) op(e3, e0) = all_57_18
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e0, e1, simplifying with (160), (4009)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) all_57_24 = all_52_14
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e0, e2, simplifying with (164), (3994)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_57_21 = all_52_13
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3999) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_52_1 = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (168), (4024)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_57_18 = all_52_12
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_38_1,
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (4015), (4024)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) all_57_18 = all_38_1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (3984) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) all_52_4 = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4028), (4029) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_52_12 = all_38_1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4031) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_52_12 = all_38_1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (4032) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) all_54_3 = all_38_1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4008), (4025) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) ~ (all_52_14 = e1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4027) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) ~ (all_52_2 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4027) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) ~ (all_52_13 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4036) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) ~ (all_52_13 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (4030) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) ~ (all_52_8 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4032) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) ~ (all_52_13 = all_38_1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4039) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) ~ (all_52_13 = all_38_1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4032) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) ~ (all_52_14 = all_38_1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4041) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) ~ (all_52_14 = all_38_1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3977), (4032) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) ~ (all_38_1 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3570), (4032) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) ~ (all_38_1 = e1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_54_3 = e3
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4033), (4043), (4045) are inconsistent by
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1055.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) ~ (all_54_3 = e3)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4048) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) all_56_9 = e1 & op(e3, e0) = e1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4049) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) all_56_9 = e1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (3571), (4050),
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_56_10 = e1 & op(e2, e0) = e1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_56_10 = e1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4047) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) all_54_3 = e2
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4014), (4033), (4053) are inconsistent by
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1053.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) ~ (all_54_3 = e2)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_54_3 = e1 | all_54_3 = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4055) gives:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) all_54_3 = e1
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4033), (4044), (4056) are inconsistent by
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1052.
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_54_3 = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4033), (4057) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_38_1 = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4058) implies:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) all_38_1 = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4029), (4059) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) all_57_18 = e0
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4040), (4059) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) ~ (all_52_13 = e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4042), (4059) imply:
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) ~ (all_52_14 = e0)
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4043), (4059) imply:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) ~ (e3 = e0)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4014), (4059) imply:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) ~ (e2 = e0)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4044), (4059) imply:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) ~ (e1 = e0)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4015), (4059) imply:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) op(e3, e0) = e0
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4067) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) all_56_12 = e2 & op(e0, e3) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4068) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_56_12 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) op(e0, e3) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4071) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) all_56_4 = e2 & op(e3, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4072) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_56_4 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_54_7 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (4037), (4074) are inconsistent by
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (117), (141),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (160), (163), (164), (165), (169),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (193), (196), (207), (214), (225), (236),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254), (265), (274), (275), (387), (2837), (2839),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842), (2843), (3566), (3569), (3571), (3582),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584), (3586), (3588), (3999), (4034), (4060),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061), (4062), (4066), (4070), (4073), (4075),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #790.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_56_5 = e2 & op(e2, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4076) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) all_56_5 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) op(e2, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) all_54_7 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (4037), (4079) are inconsistent by
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4081) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) all_56_0 = e2 & op(e3, e3) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4082) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) op(e3, e3) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (3999), (4069), (4083),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) all_56_1 = e2 & op(e3, e2) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4084) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) op(e3, e2) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3582), (4085), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4086) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_56_4 = e2 & op(e3, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4087) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_56_4 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (117), (141),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (160), (163), (164), (165), (169),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (193), (196), (207), (214), (225), (236),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254), (265), (274), (275), (387), (2837), (2839),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842), (2843), (3566), (3569), (3571), (3582),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584), (3586), (3588), (3999), (4034), (4060),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061), (4062), (4066), (4070), (4080), (4088),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #790.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4089) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_56_9 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (210),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (387), (3588), (4034), (4052),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077), (4078), (4090), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #789.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4091) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_56_8 = e2 & op(e1, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4092) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) op(e1, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4093), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) all_56_14 = e2 & op(e0, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (169), (218),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (2843), (3569), (3999),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052), (4061), (4094), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #785.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_56_13 = e2 & op(e0, e2) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4095) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) op(e0, e2) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3584), (4096), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4097) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) all_56_14 = e2 & op(e0, e1) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (169), (218),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (2843), (3569), (3999),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052), (4061), (4098), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #785.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_56_15 = e2 & op(e0, e0) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4099) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) op(e0, e0) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4100), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (4034), (4101),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1488.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (4102) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4102) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (4103) all_56_6 = e3 & op(e1, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4103) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (4104) op(e1, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2837), (4104), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (4105) all_56_12 = e3 & op(e0, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (387), (389), (3584), (3978),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (4105), (function-axioms) are inconsistent by
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #784.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | (4106) all_56_3 = e3 & op(e2, e2) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | ALPHA: (4106) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | (4107) op(e2, e2) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3588), (4107), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | (4108) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.19/26.59 | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | (4109) all_56_7 = e3 & op(e1, e2) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2838), (4109), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | (4110) all_56_13 = e3 & op(e0, e2) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | ALPHA: (4110) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | (4111) all_56_13 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | (4112) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (4112) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | (4113) all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (4113) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | (4114) op(e3, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3571), (4114), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | (4115) all_56_2 = e3 & op(e2, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (4115) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | (4116) all_56_2 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | (4117) op(e2, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | (4118) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4118) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (4119) all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4119) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (4120) op(e3, e3) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (229),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (231), (233), (386), (3566), (4116), (4117),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (4120), (function-axioms) are inconsistent by
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1587.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (4121) all_56_1 = e3 & op(e3, e2) = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4121) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | (4122) all_56_1 = e3
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (4123) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4123) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_56_12 = e1 & op(e0, e3) = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4124) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_56_12 = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4126) op(e0, e3) = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (39), (158), (206), (208),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (389), (3584), (3978), (4111), (4125), (4126),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_56_13 = e1 & op(e0, e2) = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4127) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_56_13 = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4111), (4128) imply:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4129) e3 = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4122), (4129) imply:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_56_1 = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (3571), (4130),
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | (4131) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4131) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_56_14 = e1 & op(e0, e1) = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4132) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (4133) op(e0, e1) = e1
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (4134) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_56_12 = e2 & op(e0, e3) = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4135) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_56_12 = e2
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) all_56_15 = e0 & op(e0, e0) = e0
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4137) implies:
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) op(e0, e0) = e0
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (4138), (function-axioms) are
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.19/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4139) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4140) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_56_12 = e0 & op(e0, e3) = e0
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4141) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_56_12 = e0
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4136), (4142) are inconsistent by sub-proof
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (4111), (4133), (4143),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #782.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_56_13 = e2 & op(e0, e2) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4144) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) op(e0, e2) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3584), (4145), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (4146) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (4133), (4146),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | #837.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4147) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4148) op(e0, e0) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4148), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (4149) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (2839), (3977), (4149),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | #803.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | (4150) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (4151) all_56_6 = e3 & op(e1, e3) = e3
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | ALPHA: (4151) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (4152) op(e1, e3) = e3
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2837), (4152), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (4153) all_56_12 = e3 & op(e0, e3) = e3
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (387), (389), (3584),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (4111), (4153), (function-axioms) are inconsistent
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | by sub-proof #798.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | (4154) all_54_5 = e1 | all_54_5 = e0
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (3573), (4154) are inconsistent by
% 177.19/26.60 | | | | | | | | | | | | | | sub-proof #1353.
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | (4155) all_28_2 = e1
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | COMBINE_EQS: (329), (4155) imply:
% 177.19/26.60 | | | | | | | | | | | | (4156) all_10_2 = e1
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | SIMP: (4156) implies:
% 177.19/26.60 | | | | | | | | | | | | (4157) all_10_2 = e1
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | COMBINE_EQS: (313), (4157) imply:
% 177.19/26.60 | | | | | | | | | | | | (4158) all_46_2 = e1
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | REDUCE: (367), (4157) imply:
% 177.19/26.60 | | | | | | | | | | | | (4159) ~ (all_52_6 = e1)
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | REDUCE: (369), (4157) imply:
% 177.19/26.60 | | | | | | | | | | | | (4160) ~ (all_52_7 = e1)
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | REDUCE: (373), (4157) imply:
% 177.19/26.60 | | | | | | | | | | | | (4161) ~ (all_52_13 = e1)
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | REDUCE: (390), (4157) imply:
% 177.19/26.60 | | | | | | | | | | | | (4162) ~ (e3 = e1)
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | REDUCE: (45), (4157) imply:
% 177.19/26.60 | | | | | | | | | | | | (4163) op(e2, e2) = e1
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | BETA: splitting (100) gives:
% 177.19/26.60 | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | (4164) ~ (all_46_2 = e1)
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | REDUCE: (4158), (4164) imply:
% 177.19/26.60 | | | | | | | | | | | | | (4165) $false
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | CLOSE: (4165) is inconsistent.
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | (4166) ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 177.19/26.60 | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2)
% 177.19/26.60 | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | BETA: splitting (4166) gives:
% 177.19/26.60 | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | (4167) ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 177.19/26.60 | | | | | | | | | | | | | | $i(all_46_0)
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 177.19/26.60 | | | | | | | | | | | | | | (4168) ~ (all_46_0 = e3)
% 177.19/26.60 | | | | | | | | | | | | | | (4169) op(e1, e1) = all_46_0
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | REF_CLOSE: (2843), (4168), (4169), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | inconsistent by sub-proof #781.
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | (4170) ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 177.19/26.60 | | | | | | | | | | | | | | $i(all_46_1)
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | ALPHA: (4170) implies:
% 177.19/26.60 | | | | | | | | | | | | | | (4171) ~ (all_46_1 = e0)
% 177.19/26.60 | | | | | | | | | | | | | | (4172) op(e1, e2) = all_46_1
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 177.19/26.60 | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | (4173) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60 | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4163), (4173), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | (4174) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 177.19/26.60 | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | BETA: splitting (4174) gives:
% 177.19/26.60 | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | (4175) all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | ALPHA: (4175) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | (4176) op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4176), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | (4177) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.60 | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.19/26.60 | | | | | | | | | | | | | | | | $i(all_57_23))
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | BETA: splitting (4177) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | (4178) all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | ALPHA: (4178) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | (4179) op(e0, e0) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4179), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | (4180) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.19/26.60 | | | | | | | | | | | | | | | | | $i(all_57_23)
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | (4181) op(e1, e2) = all_57_23
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | (4182) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | (230), (234), (236), (386), (3571), (4161),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | (4182), (function-axioms) are inconsistent by
% 177.19/26.60 | | | | | | | | | | | | | | | | | | sub-proof #1024.
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | (4183) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | (4184) all_56_11 = e1 & op(e1, e0) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | ALPHA: (4184) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | (4185) all_56_11 = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | (4186) op(e1, e0) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (4187) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4187) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (4188) all_56_12 = e1 & op(e0, e3) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3567), (4188), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (4189) all_56_13 = e1 & op(e0, e2) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4189) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (4190) op(e0, e2) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4160), (4190), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #841.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | (4191) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4191) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (4192) all_56_14 = e1 & op(e0, e1) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4192) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | (4193) op(e0, e1) = e1
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | (4194) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4163), (4194), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #780.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | (4195) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4195) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | (4196) all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4196) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | (4197) op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4197), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | (4198) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4198) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4199) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4200) op(e0, e0) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4200), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4201) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4202) ~ (all_57_29 = e2)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (4203) op(e2, e2) = all_57_29
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (4204) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4202), (4203), (4204),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | #779.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (4205) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_16 & $i(all_57_16))
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4205) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4206) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4207), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4208) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4209) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) op(e0, e0) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4210), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4211) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) ~ (all_57_16 = e3)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) op(e3, e2) = all_57_16
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4202), (4203), (4214),
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #779.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_26 & $i(all_57_26))
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4215) gives:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4216) implies:
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) op(e1, e1) = e2
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4217), (function-axioms) are
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.19/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4218) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4219) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) op(e0, e0) = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4220), (function-axioms) are
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4221) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) op(e0, e2) = all_57_26
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (4193) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_52_11 = e1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e2, e0, simplifying with (158), (4222)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_57_26 = all_52_7
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (4186) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) all_52_14 = e1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (162), (4181)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) all_57_23 = all_52_6
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_46_1,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (4172), (4181)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_57_23 = all_46_1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e2, e2, simplifying with (4163), (4203)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_57_29 = e1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (170), (4213)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_57_16 = all_52_4
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4226), (4227) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_52_6 = all_46_1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4230) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_52_6 = all_46_1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (4231) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_54_9 = all_46_1
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4212), (4229) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) ~ (all_52_4 = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4202), (4228) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) ~ (e2 = e1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (4231) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) ~ (all_52_4 = all_46_1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4231) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) ~ (all_52_7 = all_46_1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4236) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) ~ (all_52_7 = all_46_1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2838), (4231) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) ~ (all_46_1 = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4159), (4231) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) ~ (all_46_1 = e1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4223) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) ~ (all_52_9 = e1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4225) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) ~ (all_6_2 = e1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3571), (4233), (4242),
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #802.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4243) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_56_4 = e3 & op(e3, e1) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4244) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) op(e3, e1) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2839), (4245), (function-axioms) are
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) all_56_9 = e3 & op(e3, e0) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4246) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_56_9 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (4163), (4248),
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4249) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4250) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) op(e1, e1) = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (4251), (function-axioms) are
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4252) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4253) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_57_31 = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (4254) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) all_6_2 = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4255) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_6_2 = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (4256) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) ~ (all_52_13 = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (4256) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) ~ (e2 = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (4256) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) ~ (e1 = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_54_9 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4232), (4238), (4260) are inconsistent by
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #840.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) ~ (all_54_9 = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4263) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_56_9 = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4247), (4265) are inconsistent by sub-proof
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_56_10 = e2 & op(e2, e0) = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4266) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_56_10 = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4268) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_56_2 = e3 & op(e2, e3) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4269) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_56_2 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) op(e2, e3) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (4163), (4233), (4272),
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1135.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4273) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_56_7 = e3 & op(e1, e2) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2838), (4274), (function-axioms) are
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_56_13 = e3 & op(e0, e2) = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4275) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_56_13 = e3
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (4163), (4271), (4277),
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #831.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4278) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_56_5 = e0 & op(e2, e1) = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4279) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_56_5 = e0
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4281) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_56_12 = e2 & op(e0, e3) = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4282) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) op(e0, e3) = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4262) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) all_54_9 = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4232), (4284) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_46_1 = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4285) implies:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_46_1 = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4227), (4286) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_57_23 = e2
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4235), (4286) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) ~ (all_52_4 = e2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4237), (4286) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) ~ (all_52_7 = e2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4238), (4286) imply:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) ~ (e3 = e2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4291) gives:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (4233), (4292),
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4283), (4288), (4293),
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #876.
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4294) gives:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4271), (4289), (4295), (function-axioms)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #830.
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4296) gives:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4297) implies:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) op(e3, e1) = e1
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3569), (4298), (function-axioms) are
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4299) gives:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4300) implies:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) op(e2, e1) = e1
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4240), (4301), (function-axioms) are
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4302) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4254), (4287), (4303), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #778.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_54_9 = e1 | all_54_9 = e0
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4171), (4232), (4239), (4304) are inconsistent by
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #820.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_56_13 = e2 & op(e0, e2) = e2
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4305) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_56_13 = e2
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4276), (4306) imply:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) e3 = e2
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4270), (4307) imply:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_56_2 = e2
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (4163), (4267), (4280),
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308), (function-axioms) are inconsistent by
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (4193), (4309),
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #837.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_56_10 = e0 & op(e2, e0) = e0
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4310) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) op(e2, e0) = e0
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4257), (4311), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1504.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_56_3 = e3 & op(e2, e2) = e3
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4312) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) op(e2, e2) = e3
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4163), (4313), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4314) gives:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_56_5 = e3 & op(e2, e1) = e3
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4315) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) op(e2, e1) = e3
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (4316), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_56_10 = e3 & op(e2, e0) = e3
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4317) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_56_10 = e3
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (4185), (4247),
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318), (function-axioms) are inconsistent by
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (162), (213),
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (389), (2843), (4159), (4171), (4172),
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319), (function-axioms) are inconsistent by
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #832.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4320) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) ~ (all_57_24 = e1)
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) op(e1, e0) = all_57_24
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4186), (4321), (4322), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | (4323) all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4323) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | (4324) op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4324), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | (4325) all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | ALPHA: (4325) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | (4326) op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4326), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.19/26.63 | | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | End of split
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | End of split
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | Case 2:
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | (4327) all_14_2 = e2
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (363), (4327) imply:
% 177.19/26.63 | | | | | | | (4328) ~ (all_52_2 = e2)
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (374), (4327) imply:
% 177.19/26.63 | | | | | | | (4329) ~ (all_52_6 = e2)
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (376), (4327) imply:
% 177.19/26.63 | | | | | | | (4330) ~ (all_52_8 = e2)
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (377), (4327) imply:
% 177.19/26.63 | | | | | | | (4331) ~ (all_52_9 = e2)
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (379), (4327) imply:
% 177.19/26.63 | | | | | | | (4332) ~ (all_52_11 = e2)
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (381), (4327) imply:
% 177.19/26.63 | | | | | | | (4333) ~ (all_52_14 = e2)
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | REDUCE: (51), (4327) imply:
% 177.19/26.63 | | | | | | | (4334) op(e1, e1) = e2
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | BETA: splitting (238) gives:
% 177.19/26.63 | | | | | | |
% 177.19/26.63 | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | | (4335) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 &
% 177.19/26.63 | | | | | | | | op(e2, e2) = e0)
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (4335), (function-axioms)
% 177.19/26.63 | | | | | | | | are inconsistent by sub-proof #1622.
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | | (4336) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 177.19/26.63 | | | | | | | | all_57_31 & $i(all_57_31))
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | | BETA: splitting (4336) gives:
% 177.19/26.63 | | | | | | | |
% 177.19/26.63 | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | (4337) all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | ALPHA: (4337) implies:
% 177.19/26.63 | | | | | | | | | (4338) op(e1, e1) = e0
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | REF_CLOSE: (5), (4334), (4338), (function-axioms) are
% 177.19/26.63 | | | | | | | | | inconsistent by sub-proof #1230.
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | (4339) op(e0, e0) = all_57_31 & $i(all_57_31)
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | ALPHA: (4339) implies:
% 177.19/26.63 | | | | | | | | | (4340) op(e0, e0) = all_57_31
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 177.19/26.63 | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (4340)
% 177.19/26.63 | | | | | | | | | gives:
% 177.19/26.63 | | | | | | | | | (4341) all_57_31 = all_6_2
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | BETA: splitting (58) gives:
% 177.19/26.63 | | | | | | | | |
% 177.19/26.63 | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | (4342) ~ (all_18_2 = e1)
% 177.19/26.63 | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | REDUCE: (342), (4342) imply:
% 177.19/26.63 | | | | | | | | | | (4343) ~ (all_4_2 = e1)
% 177.19/26.63 | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | BETA: splitting (73) gives:
% 177.19/26.63 | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | (4344) ~ (all_28_2 = e1)
% 177.19/26.63 | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | REDUCE: (329), (4344) imply:
% 177.19/26.63 | | | | | | | | | | | (4345) ~ (all_10_2 = e1)
% 177.19/26.63 | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | BETA: splitting (242) gives:
% 177.19/26.63 | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | (4346) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.19/26.63 | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | BETA: splitting (4346) gives:
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | (4347) all_57_28 = e1 & op(e3, e3) = e1
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | ALPHA: (4347) implies:
% 177.19/26.63 | | | | | | | | | | | | | (4348) op(e3, e3) = e1
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | REF_CLOSE: (36), (4343), (4348), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | (4349) all_57_29 = e1 & op(e2, e2) = e1
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | ALPHA: (4349) implies:
% 177.19/26.63 | | | | | | | | | | | | | (4350) op(e2, e2) = e1
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | REF_CLOSE: (45), (199), (283), (390), (392), (4345), (4350),
% 177.19/26.63 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.63 | | | | | | | | | | | | | #1270.
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | (4351) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.19/26.63 | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 177.19/26.63 | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | BETA: splitting (4351) gives:
% 177.19/26.63 | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | (4352) all_57_30 = e1 & op(e1, e1) = e1
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | ALPHA: (4352) implies:
% 177.19/26.63 | | | | | | | | | | | | | (4353) op(e1, e1) = e1
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4353), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | (4354) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.19/26.63 | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.19/26.63 | | | | | | | | | | | | | $i(all_57_30))
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | BETA: splitting (4354) gives:
% 177.19/26.63 | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | (4355) all_57_31 = e1 & op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | ALPHA: (4355) implies:
% 177.19/26.63 | | | | | | | | | | | | | | (4356) op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4356), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | (4357) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.19/26.63 | | | | | | | | | | | | | | $i(all_57_30)
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | ALPHA: (4357) implies:
% 177.19/26.63 | | | | | | | | | | | | | | (4358) ~ (all_57_30 = e1)
% 177.19/26.63 | | | | | | | | | | | | | | (4359) op(e1, e1) = all_57_30
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 177.19/26.63 | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | (4360) all_54_5 = e3
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4360) imply:
% 177.19/26.63 | | | | | | | | | | | | | | | (4361) all_10_2 = e3
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | REDUCE: (390), (4361) imply:
% 177.19/26.63 | | | | | | | | | | | | | | | (4362) $false
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | CLOSE: (4362) is inconsistent.
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | (4363) ~ (all_54_5 = e3)
% 177.19/26.63 | | | | | | | | | | | | | | | (4364) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.19/26.63 | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | (4365) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.19/26.63 | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | BETA: splitting (4365) gives:
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4366) all_57_28 = e1 & op(e3, e3) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | ALPHA: (4366) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4367) op(e3, e3) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (4343), (4367), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4368) all_57_29 = e1 & op(e2, e2) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | ALPHA: (4368) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4369) op(e2, e2) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (283), (392), (4345), (4364), (4369),
% 177.19/26.63 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.63 | | | | | | | | | | | | | | | | | #1271.
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | End of split
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | (4370) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.19/26.63 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.19/26.63 | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | BETA: splitting (4370) gives:
% 177.19/26.63 | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4371) all_57_30 = e1 & op(e1, e1) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | ALPHA: (4371) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4372) op(e1, e1) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4372), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | (4373) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.19/26.63 | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.19/26.63 | | | | | | | | | | | | | | | | | $i(all_57_17))
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | BETA: splitting (4373) gives:
% 177.19/26.63 | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63 | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | (4374) all_57_31 = e1 & op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | ALPHA: (4374) implies:
% 177.19/26.63 | | | | | | | | | | | | | | | | | | (4375) op(e0, e0) = e1
% 177.19/26.63 | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4375), (function-axioms) are
% 177.19/26.63 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.19/26.63 | | | | | | | | | | | | | | | | | |
% 177.19/26.63 | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | (4376) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.19/26.64 | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | ALPHA: (4376) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | (4377) op(e3, e1) = all_57_17
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4378) all_54_5 = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4378) imply:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4379) all_10_2 = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (4379) imply:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4380) ~ (all_52_7 = e2)
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4379) imply:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4381) ~ (all_52_13 = e2)
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (4379) imply:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4382) ~ (e3 = e2)
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (4379) imply:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4383) op(e2, e2) = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (123), (125), (126), (128), (133), (134), (135),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (139), (140), (141), (143), (144), (145), (146),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (189), (190), (191), (193), (195), (196), (197),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (198), (200), (202), (203), (204), (206), (207),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (220), (223), (224),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (239), (241), (243),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (244), (254), (261), (262), (263), (265), (273),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (274), (275), (276), (284), (286), (287), (294),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (344), (351), (353), (357), (361), (375), (382),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (383), (384), (385), (386), (387), (389), (4329),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4334), (4341), (4343), (4358), (4359), (4377),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4380), (4381), (4383), (function-axioms) are
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #884.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4384) all_54_5 = e1 | all_54_5 = e0
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (4345), (4384) are inconsistent by
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | (4385) all_28_2 = e1
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | COMBINE_EQS: (329), (4385) imply:
% 177.19/26.64 | | | | | | | | | | | (4386) all_10_2 = e1
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | SIMP: (4386) implies:
% 177.19/26.64 | | | | | | | | | | | (4387) all_10_2 = e1
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | REDUCE: (362), (4387) imply:
% 177.19/26.64 | | | | | | | | | | | (4388) ~ (all_52_1 = e1)
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | REDUCE: (371), (4387) imply:
% 177.19/26.64 | | | | | | | | | | | (4389) ~ (all_52_9 = e1)
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | REDUCE: (373), (4387) imply:
% 177.19/26.64 | | | | | | | | | | | (4390) ~ (all_52_13 = e1)
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | REDUCE: (390), (4387) imply:
% 177.19/26.64 | | | | | | | | | | | (4391) ~ (e3 = e1)
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | REDUCE: (45), (4387) imply:
% 177.19/26.64 | | | | | | | | | | | (4392) op(e2, e2) = e1
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | BETA: splitting (76) gives:
% 177.19/26.64 | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | (4393) ~ (all_30_2 = e2)
% 177.19/26.64 | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | REDUCE: (343), (4393) imply:
% 177.19/26.64 | | | | | | | | | | | | (4394) ~ (all_4_2 = e2)
% 177.19/26.64 | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | BETA: splitting (204) gives:
% 177.19/26.64 | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | (4395) all_54_0 = e3
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | COMBINE_EQS: (294), (4395) imply:
% 177.19/26.64 | | | | | | | | | | | | | (4396) all_4_2 = e3
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | REDUCE: (351), (4396) imply:
% 177.19/26.64 | | | | | | | | | | | | | (4397) ~ (all_52_1 = e3)
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | REDUCE: (361), (4396) imply:
% 177.19/26.64 | | | | | | | | | | | | | (4398) ~ (all_52_12 = e3)
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | REDUCE: (36), (4396) imply:
% 177.19/26.64 | | | | | | | | | | | | | (4399) op(e3, e3) = e3
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.19/26.64 | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | (4400) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.19/26.64 | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | BETA: splitting (4400) gives:
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | (4401) all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | ALPHA: (4401) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | (4402) all_56_0 = e3
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 177.19/26.64 | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (121), (135),
% 177.19/26.64 | | | | | | | | | | | | | | | (145), (146), (157), (158), (159), (160), (162),
% 177.19/26.64 | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 177.19/26.64 | | | | | | | | | | | | | | | (189), (190), (193), (197), (198), (200), (201),
% 177.19/26.64 | | | | | | | | | | | | | | | (204), (206), (207), (208), (209), (210), (211),
% 177.19/26.64 | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 177.19/26.64 | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 177.19/26.64 | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 177.19/26.64 | | | | | | | | | | | | | | | (236), (239), (240), (254), (261), (262), (265),
% 177.19/26.64 | | | | | | | | | | | | | | | (275), (276), (284), (285), (294), (344), (353),
% 177.19/26.64 | | | | | | | | | | | | | | | (355), (357), (375), (382), (383), (384), (385),
% 177.19/26.64 | | | | | | | | | | | | | | | (386), (387), (389), (4329), (4331), (4332),
% 177.19/26.64 | | | | | | | | | | | | | | | (4333), (4334), (4341), (4343), (4388), (4389),
% 177.19/26.64 | | | | | | | | | | | | | | | (4390), (4392), (4397), (4398), (4399), (4402),
% 177.19/26.64 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.64 | | | | | | | | | | | | | | | #720.
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | (4403) all_56_1 = e3 & op(e3, e2) = e3
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.19/26.64 | | | | | | | | | | | | | | | (158), (162), (167), (169), (170), (207), (210),
% 177.19/26.64 | | | | | | | | | | | | | | | (211), (213), (214), (216), (217), (218), (220),
% 177.19/26.64 | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 177.19/26.64 | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (386),
% 177.19/26.64 | | | | | | | | | | | | | | | (387), (389), (4329), (4334), (4343), (4388),
% 177.19/26.64 | | | | | | | | | | | | | | | (4392), (4399), (4403), (function-axioms) are
% 177.19/26.64 | | | | | | | | | | | | | | | inconsistent by sub-proof #719.
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | (4404) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.19/26.64 | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | BETA: splitting (4404) gives:
% 177.19/26.64 | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | (4405) all_56_4 = e3 & op(e3, e1) = e3
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | ALPHA: (4405) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | (4406) all_56_4 = e3
% 177.19/26.64 | | | | | | | | | | | | | | | (4407) op(e3, e1) = e3
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.19/26.64 | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | (4408) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | BETA: splitting (4408) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4409) all_56_4 = e1 & op(e3, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4406), (4409) are inconsistent by sub-proof
% 177.19/26.64 | | | | | | | | | | | | | | | | | #731.
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4410) all_56_5 = e1 & op(e2, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | ALPHA: (4410) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4411) op(e2, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4389), (4411), (function-axioms) are
% 177.19/26.64 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | (4412) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.19/26.64 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | BETA: splitting (4412) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4413) all_56_8 = e1 & op(e1, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | ALPHA: (4413) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4414) op(e1, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4414), (function-axioms) are
% 177.19/26.64 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4415) all_56_14 = e1 & op(e0, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | ALPHA: (4415) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | (4416) op(e0, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | (4417) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | BETA: splitting (4417) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4418) all_56_0 = e1 & op(e3, e3) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4419) op(e3, e3) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4399), (4419), (function-axioms) are
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4420) all_56_1 = e1 & op(e3, e2) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | ALPHA: (4420) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4421) all_56_1 = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (169),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (225), (227), (228), (230), (234), (236), (386),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4329), (4392), (4399), (4406), (4421),
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | #732.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | (4422) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | BETA: splitting (4422) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4423) all_56_4 = e1 & op(e3, e1) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4406), (4423) are inconsistent by sub-proof
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | #731.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4424) all_56_9 = e1 & op(e3, e0) = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | ALPHA: (4424) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | (4425) all_56_9 = e1
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | (4426) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4426) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | (4427) all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | (4428) all_56_9 = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4425), (4428) are inconsistent by sub-proof
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | #1503.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | (4429) all_56_10 = e2 & op(e2, e0) = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4429) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | (4430) all_56_10 = e2
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | (4431) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4431) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | (4432) all_56_4 = e0 & op(e3, e1) = e0
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4432) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | (4433) op(e3, e1) = e0
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (4407), (4433), (function-axioms) are
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | (4434) all_56_5 = e0 & op(e2, e1) = e0
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4434) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | (4435) all_56_5 = e0
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | (4436) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4436) gives:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (4437) all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4437) implies:
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (4438) all_56_0 = e3
% 177.19/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (121), (135),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (157), (158), (159), (160), (162),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (193), (197), (198), (200), (201),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (208), (209), (210), (211),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (240), (254), (261), (262), (265),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (275), (276), (284), (285), (294), (344), (353),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (355), (357), (375), (382), (383), (384), (385),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (4329), (4331), (4332),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (4333), (4334), (4341), (4343), (4388), (4389),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (4390), (4392), (4397), (4398), (4399), (4438),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | #720.
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (4439) all_56_2 = e3 & op(e2, e3) = e3
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4439) implies:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (4440) all_56_2 = e3
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4441) gives:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) all_56_0 = e0 & op(e3, e3) = e0
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4442) implies:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) op(e3, e3) = e0
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4443), (function-axioms) are
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4444) implies:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_56_1 = e0
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (217), (218), (220), (221), (223),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (232),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (386), (387), (4329), (4334),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4392), (4399), (4406), (4425), (4430),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435), (4440), (4445), (function-axioms) are
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #717.
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (169), (4407), (4425), (4446),
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | #716.
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | (4447) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4447) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (4448) all_56_6 = e3 & op(e1, e3) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4448) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (4449) all_56_6 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (4450) op(e1, e3) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4451) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4449), (4452) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_56_7 = e1 & op(e1, e2) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4453) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_56_7 = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4455) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) all_56_0 = e0 & op(e3, e3) = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4456) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) op(e3, e3) = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4457), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4458) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) all_56_1 = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_56_1 = e3 & op(e3, e2) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (167), (169), (170), (207), (210),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (216), (217), (218), (220),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (386),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (4329), (4334), (4343), (4388),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392), (4399), (4461), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #719.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) all_56_3 = e3 & op(e2, e2) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4462) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) op(e2, e2) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4392), (4463), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4464) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) all_56_7 = e3 & op(e1, e2) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4465) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) all_56_7 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4451) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4449), (4467) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4453), (4466) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4468) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_56_8 = e1 & op(e1, e1) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4469) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) op(e1, e1) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4470), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) all_56_11 = e1 & op(e1, e0) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4471) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_56_11 = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329), (4449), (4450), (4466), (4472),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #960.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_56_13 = e3 & op(e0, e2) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4473) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_56_13 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4399), (4459), (4475),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #718.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4476) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) all_56_4 = e2 & op(e3, e1) = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4477) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_56_4 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4406), (4478) imply:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) e3 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4474), (4479) imply:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_56_13 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (225), (228), (4392),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454), (4480), (function-axioms) are inconsistent
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #759.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_56_9 = e2 & op(e3, e0) = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) all_56_9 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4425), (4482) imply:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) e2 = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4430), (4483) imply:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_56_10 = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (217), (218), (220), (221), (223),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (232),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (386), (387), (4329), (4334),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4392), (4482), (4484), (function-axioms)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #766.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (169), (4407), (4425), (4485),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #716.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4486) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) all_56_8 = e1 & op(e1, e1) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4487) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) op(e1, e1) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4488), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) all_56_11 = e1 & op(e1, e0) = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4489) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_56_11 = e1
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4491) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4492) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) op(e3, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4398), (4493), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_56_10 = e3 & op(e2, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4494) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_56_10 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (4425), (4490),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495), (function-axioms) are inconsistent by
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #954.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4496) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) all_56_11 = e3 & op(e1, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4490), (4497) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #715.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) all_56_15 = e3 & op(e0, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4498) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) op(e0, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (160),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (165), (169), (206), (207), (208), (210),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (216), (217), (218), (220),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (236), (239), (240),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (4329), (4331), (4334),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4389), (4392), (4399), (4499),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #721.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (4500) all_56_12 = e3 & op(e0, e3) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4500) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (4501) all_56_12 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4502) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) all_56_12 = e2 & op(e0, e3) = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4501), (4503) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | #714.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) all_56_13 = e2 & op(e0, e2) = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4504) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) all_56_13 = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) op(e0, e2) = e2
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (167), (169), (170), (207), (210),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (214), (216), (217), (218), (220),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (386),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (4329), (4334), (4343), (4388),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392), (4399), (4505), (4506), (4507),
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #741.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4508) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) all_56_7 = e3 & op(e1, e2) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4509) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) all_56_7 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) all_56_15 = e0 & op(e0, e0) = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4511) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) op(e0, e0) = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4513) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4514) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) op(e3, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4398), (4515), (function-axioms) are
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_56_10 = e3 & op(e2, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4516) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) all_56_10 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4430), (4517) are inconsistent by sub-proof
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4518) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) all_56_11 = e3 & op(e1, e0) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4519) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4520) all_56_11 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4521) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4521) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4522) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523) all_56_1 = e0
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4524) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4524) gives:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4525) all_56_2 = e3 & op(e2, e3) = e3
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4525) implies:
% 177.51/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4526) all_56_2 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (217), (218), (220), (221), (223),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (232),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (386), (387), (4329), (4334),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4392), (4399), (4406), (4425), (4430),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435), (4523), (4526), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #717.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4527) all_56_3 = e3 & op(e2, e2) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4527) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4528) op(e2, e2) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4392), (4528), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4529) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530) all_56_5 = e3 & op(e2, e1) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4435), (4530) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1332.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) all_56_10 = e3 & op(e2, e0) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4531) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) all_56_10 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4430), (4532) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) e3 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4533) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) e3 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4520), (4534) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_56_11 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4535), (function-axioms) are inconsistent
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #886.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) all_56_3 = e0 & op(e2, e2) = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4536) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4537) op(e2, e2) = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4392), (4537), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4538) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) all_56_7 = e0 & op(e1, e2) = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4539) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) all_56_7 = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4510), (4540) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1464.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_56_13 = e0 & op(e0, e2) = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4541) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_56_13 = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4505), (4542) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) all_56_15 = e3 & op(e0, e0) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4543) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) op(e0, e0) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4512), (4544), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4545) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (4416), (4501), (4505), (4546),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) all_56_13 = e3 & op(e0, e2) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4505), (4547) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #760.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (4548) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (389), (4334), (4548),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | #975.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | (4549) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4334), (4416), (4549),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | #916.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | (4550) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | (216), (389), (4334), (4550), (function-axioms)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #885.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | (4551) all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | (4552) op(e3, e0) = e3
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | REF_CLOSE: (168), (4398), (4552), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | (4553) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | REF_CLOSE: (294), (386), (4343), (4394), (4553) are
% 177.51/26.66 | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | (4554) all_30_2 = e2
% 177.51/26.66 | | | | | | | | | | | | (4555) ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 177.51/26.66 | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3)
% 177.51/26.66 | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | COMBINE_EQS: (343), (4554) imply:
% 177.51/26.66 | | | | | | | | | | | | (4556) all_4_2 = e2
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | REDUCE: (351), (4556) imply:
% 177.51/26.66 | | | | | | | | | | | | (4557) ~ (all_52_1 = e2)
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | REDUCE: (36), (4556) imply:
% 177.51/26.66 | | | | | | | | | | | | (4558) op(e3, e3) = e2
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.51/26.66 | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | (4559) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.51/26.66 | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | BETA: splitting (4559) gives:
% 177.51/26.66 | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | (4560) all_56_9 = e2 & op(e3, e0) = e2
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | ALPHA: (4560) implies:
% 177.51/26.66 | | | | | | | | | | | | | | (4561) all_56_9 = e2
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | (4562) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.51/26.66 | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | BETA: splitting (4562) gives:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | (4563) all_56_0 = e1 & op(e3, e3) = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | ALPHA: (4563) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | (4564) op(e3, e3) = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4558), (4564), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | (4565) all_56_1 = e1 & op(e3, e2) = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | ALPHA: (4565) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | (4566) all_56_1 = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (169),
% 177.51/26.66 | | | | | | | | | | | | | | | | (225), (227), (228), (230), (234), (236), (386),
% 177.51/26.66 | | | | | | | | | | | | | | | | (4329), (4392), (4561), (4566), (function-axioms)
% 177.51/26.66 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #771.
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | (4567) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.51/26.66 | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | BETA: splitting (4567) gives:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | (4568) all_56_4 = e1 & op(e3, e1) = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | ALPHA: (4568) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | (4569) all_56_4 = e1
% 177.51/26.66 | | | | | | | | | | | | | | | | (4570) op(e3, e1) = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (230), (236),
% 177.51/26.66 | | | | | | | | | | | | | | | | (386), (4558), (4561), (4569), (4570),
% 177.51/26.66 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | #1566.
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | (4571) all_56_9 = e1 & op(e3, e0) = e1
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4561), (4571) are inconsistent by sub-proof
% 177.51/26.66 | | | | | | | | | | | | | | | | #1565.
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | End of split
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | (4572) all_56_10 = e2 & op(e2, e0) = e2
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | ALPHA: (4572) implies:
% 177.51/26.66 | | | | | | | | | | | | | | (4573) all_56_10 = e2
% 177.51/26.66 | | | | | | | | | | | | | | (4574) op(e2, e0) = e2
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.51/26.66 | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | (4575) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | BETA: splitting (4575) gives:
% 177.51/26.66 | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | (4576) all_56_0 = e2 & op(e3, e3) = e2
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | ALPHA: (4576) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | (4577) all_56_0 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | (4578) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | BETA: splitting (4578) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (4579) all_56_12 = e2 & op(e0, e3) = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (167), (169), (207), (211), (213), (214), (216),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (234), (235), (236), (386), (387), (389), (4329),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (4334), (4343), (4388), (4392), (4558), (4573),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (4579), (function-axioms) are inconsistent by
% 177.51/26.66 | | | | | | | | | | | | | | | | | | sub-proof #710.
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (4580) all_56_13 = e2 & op(e0, e2) = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | ALPHA: (4580) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (4581) all_56_13 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | | (4582) op(e0, e2) = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | BETA: splitting (4555) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4583) ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4392), (4583), (function-axioms) are inconsistent
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | by sub-proof #1292.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4584) ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | ALPHA: (4584) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4585) ~ (all_30_1 = e0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4586) op(e2, e3) = all_30_1
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4582) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4587) all_52_7 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (4574) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4588) all_52_13 = e2
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | all_30_1, e3, e2, simplifying with (167), (4586)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4589) all_52_1 = all_30_1
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4589) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4590) all_54_4 = all_30_1
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4589) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4591) ~ (all_52_3 = all_30_1)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | SIMP: (4591) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4592) ~ (all_52_3 = all_30_1)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4589) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4593) ~ (all_52_9 = all_30_1)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | SIMP: (4593) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4594) ~ (all_52_9 = all_30_1)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (4557), (4589) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4595) ~ (all_30_1 = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (4388), (4589) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4596) ~ (all_30_1 = e1)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4587) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4597) ~ (all_52_3 = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4587) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4598) ~ (all_52_11 = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | REDUCE: (384), (4588) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | (4599) ~ (all_6_2 = e2)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | (4600) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (200), (4392), (4585), (4586), (4590),
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | (4595), (4596), (4600), (function-axioms) are
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | (4601) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4601) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | (4602) all_56_5 = e0 & op(e2, e1) = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | (4603) all_56_5 = e0
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | (4604) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4604) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | (4605) all_56_2 = e3 & op(e2, e3) = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4605) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | (4606) all_56_2 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_54_4 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4590), (4607) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_30_1 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4608) implies:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_30_1 = e3
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4592), (4609) imply:
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (4610) ~ (all_52_3 = e3)
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4594), (4609) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (4611) ~ (all_52_9 = e3)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4586), (4609) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | (4612) op(e2, e3) = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (4613) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (4392), (4613),
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (4614) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_57_30 = e0 & op(e1, e1) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4615) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) op(e1, e1) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (4616), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_57_31 = e0 & op(e0, e0) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4618) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_57_31 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (4619) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_6_2 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (4620) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) ~ (all_52_3 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4620) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) ~ (all_52_14 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (4620) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) ~ (e2 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (4620) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) ~ (e1 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4620) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) op(e0, e0) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (4612), (4626),
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4627) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_56_6 = e0 & op(e1, e3) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4628) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_56_6 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) op(e1, e3) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) all_54_6 = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4611), (4631) are inconsistent by
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) ~ (all_54_6 = e3)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4633) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_54_6 = e2
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4331), (4634) are inconsistent by
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1241.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) ~ (all_54_6 = e2)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_54_6 = e1 | all_54_6 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4637) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) op(e1, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4639), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_56_7 = e1 & op(e1, e2) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4640) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_56_7 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (225), (228), (4392),
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581), (4641), (function-axioms) are inconsistent
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #759.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_56_8 = e1 & op(e1, e1) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4643) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) op(e1, e1) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4644), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_56_11 = e1 & op(e1, e0) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4645) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_56_11 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4636) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_54_6 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (4647) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_52_9 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4389), (4648) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) $false
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4649) is inconsistent.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_54_6 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (4650) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_52_9 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4651) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) ~ (all_52_8 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4651) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) ~ (all_52_11 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4653) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) ~ (all_52_11 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4611), (4651) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) ~ (e3 = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_56_15 = e0 & op(e0, e0) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4656) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_56_15 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_54_12 = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4610), (4658) are inconsistent by
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4660) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_56_0 = e0 & op(e3, e3) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4661) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) op(e3, e3) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4662), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4663) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) all_56_1 = e0
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4665) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_56_9 = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (4388), (4558), (4668),
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #711.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4669) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4670) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) op(e1, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4671), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_56_12 = e1 & op(e0, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4672) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_56_12 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) op(e0, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4675) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_56_0 = e1 & op(e3, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4676) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) op(e3, e3) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4558), (4677), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_56_1 = e1 & op(e3, e2) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4664), (4678) are inconsistent by sub-proof
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1169.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4679) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_56_4 = e1 & op(e3, e1) = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4680) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_56_4 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4682) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_56_4 = e3 & op(e3, e1) = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4683) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_56_4 = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4681), (4684) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) e3 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4606), (4685) imply:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_56_2 = e1
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (235),
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (4577), (4674), (4686), (function-axioms)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1526.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_56_5 = e3 & op(e2, e1) = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4687) implies:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) op(e2, e1) = e3
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4611), (4688), (function-axioms) are
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4689) gives:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.51/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_56_8 = e3 & op(e1, e1) = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4690) implies:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) op(e1, e1) = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (4691), (function-axioms) are
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) all_56_14 = e3 & op(e0, e1) = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4692) implies:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_56_14 = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4659) gives:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_54_12 = e2
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4597), (4694) are inconsistent by
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #709.
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) ~ (all_54_12 = e2)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_54_12 = e1 | all_54_12 = e0
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4696) gives:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_54_12 = e1
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (4697) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_52_3 = e1
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4698) implies:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_52_3 = e1
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4699) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) ~ (all_52_2 = e1)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4699) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) ~ (all_52_11 = e1)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4701) implies:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) ~ (all_52_11 = e1)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4597), (4699) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) ~ (e2 = e1)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) all_54_14 = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (4704) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_52_11 = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4705) implies:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) all_52_11 = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4706) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) ~ (all_52_8 = e3)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4706) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) op(e0, e1) = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_54_2 = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4709) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_52_8 = e3
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4707), (4710) imply:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) $false
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4711) is inconsistent.
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) ~ (all_54_2 = e3)
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4714) gives:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (159), (163), (170), (204), (294),
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (355), (357), (4630), (4674), (4715),
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1283.
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (135), (158), (159), (170),
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (4657), (4673), (4674), (4693), (4716),
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1339.
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4717) gives:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4612), (4718), (function-axioms) are inconsistent
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1281.
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4719) gives:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4720) implies:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) op(e1, e3) = e1
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4700), (4721), (function-axioms) are
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4722) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4723) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) op(e2, e1) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4389), (4724), (function-axioms) are
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4725) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) op(e0, e1) = all_57_27
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4727) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_57_27 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4726), (4729) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) op(e0, e1) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4713) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_54_2 = e2
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4731) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) all_52_8 = e2
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4330), (4732) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) $false
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4733) is inconsistent.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_54_2 = e1 | all_54_2 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4734) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_54_2 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4735) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_52_8 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4708), (4730) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) e3 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4606), (4737) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_56_2 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (235),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (4577), (4674), (4738), (function-axioms)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1526.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_54_2 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4739) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_52_8 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4652), (4740) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) $false
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4741) is inconsistent.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4619), (4742), (function-axioms) are inconsistent
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1584.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (4332), (4654), (4702), (4743) are
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1233.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_54_12 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4621), (4744) are inconsistent by
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #708.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_56_9 = e1 & op(e3, e0) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4745) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_56_9 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4667), (4746) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) e3 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4606), (4747) imply:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_56_2 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (235),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (4577), (4674), (4748), (function-axioms)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1526.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_56_10 = e3 & op(e2, e0) = e3
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4749) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_56_10 = e3
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4573), (4750) are inconsistent by sub-proof
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4751) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_56_11 = e3 & op(e1, e0) = e3
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4752) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_56_11 = e3
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4646), (4753) are inconsistent by sub-proof
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1209.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_56_15 = e3 & op(e0, e0) = e3
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4754) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) op(e0, e0) = e3
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4625), (4755), (function-axioms) are
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_56_4 = e0 & op(e3, e1) = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4757) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) op(e3, e1) = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (4388), (4558), (4759),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #711.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4760) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) all_56_6 = e1 & op(e1, e3) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4761) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) op(e1, e3) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4762), (function-axioms) are
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4763) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) op(e0, e3) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (4389), (4758), (4765),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #707.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4766) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_56_8 = e1 & op(e1, e1) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4767) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) op(e1, e1) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (4629),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646), (4768), (function-axioms) are inconsistent
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #823.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_56_14 = e1 & op(e0, e1) = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4769) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) all_56_14 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (209), (229),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (4577), (4581), (4606), (4625),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764), (4770), (function-axioms) are inconsistent
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #705.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) all_56_9 = e0 & op(e3, e0) = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4771) implies:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) op(e3, e0) = e0
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (4388), (4558), (4773),
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #711.
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 177.62/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4774) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) all_56_6 = e1 & op(e1, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4775) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) op(e1, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4776), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4777) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (212), (229),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (4573), (4577), (4606), (4625),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646), (4772), (4778), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4779) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4780) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) all_56_12 = e0 & op(e0, e3) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4782) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) all_56_12 = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) op(e0, e3) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (231), (233),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (4343), (4629), (4630), (4783), (4784),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #703.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4785) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) all_56_13 = e0 & op(e0, e2) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4786) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_56_13 = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4581), (4787) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_56_14 = e0 & op(e0, e1) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4788) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) op(e0, e1) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4790) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4791) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4781) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_56_9 = e0 & op(e3, e0) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4793) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) op(e3, e0) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (212), (229),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (4573), (4577), (4606), (4625),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646), (4792), (4794), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4795) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_56_10 = e0 & op(e2, e0) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4573), (4796) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1160.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) all_56_11 = e0 & op(e1, e0) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4797) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) op(e1, e0) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4622), (4798), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) all_56_13 = e1 & op(e0, e2) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4799) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_56_13 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4581), (4800) imply:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) e2 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4801) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) e2 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4573), (4802) imply:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_56_10 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (211), (213), (214), (216), (217),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (223), (224), (225), (227),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (236),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (4329), (4334), (4343),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392), (4803), (function-axioms) are inconsistent
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #765.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (387), (4789), (4804),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #702.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) all_56_12 = e0 & op(e0, e3) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4805) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) op(e0, e3) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4807) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4808) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4806), (4809), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_56_13 = e1 & op(e0, e2) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4810) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_56_13 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4581), (4811) imply:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) e2 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4573), (4812) imply:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_56_10 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (207), (211), (213), (214), (216), (217),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (223), (224), (225), (227),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (236),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (4329), (4334), (4343),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392), (4813), (function-axioms) are inconsistent
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #765.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4814) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) all_56_14 = e1 & op(e0, e1) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4815) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) all_56_14 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_54_12 = e3
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4610), (4817) are inconsistent by
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) ~ (all_54_12 = e3)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4819) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) all_54_12 = e2
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4597), (4820) are inconsistent by
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #709.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_54_12 = e1 | all_54_12 = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4821) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_54_12 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (4822) imply:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_52_3 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4823) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_52_3 = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (4824) imply:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) op(e0, e3) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (209), (229),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (4577), (4581), (4606), (4625),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816), (4825), (function-axioms) are inconsistent
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #705.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_54_12 = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4621), (4826) are inconsistent by
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #708.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_56_15 = e1 & op(e0, e0) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4827) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) op(e0, e0) = e1
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4828), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) ~ (all_57_21 = e2)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) op(e2, e0) = all_57_21
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4574), (4830), (4831), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4585), (4590), (4595), (4596), (4832) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1289.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (4833) all_56_3 = e3 & op(e2, e2) = e3
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4833) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (4834) op(e2, e2) = e3
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4392), (4834), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | (4835) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4835) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (4836) all_56_5 = e3 & op(e2, e1) = e3
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4836) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (4837) all_56_5 = e3
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4603), (4837) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | (4838) all_56_10 = e3 & op(e2, e0) = e3
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4573), (4838) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | | #1331.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | (4839) all_56_10 = e0 & op(e2, e0) = e0
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4573), (4839) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | | #1160.
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | (4840) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 177.62/26.70 | | | | | | | | | | | | | | | | | (218), (220), (389), (4334), (4840),
% 177.62/26.70 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.70 | | | | | | | | | | | | | | | | | #975.
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | (4841) all_56_2 = e2 & op(e2, e3) = e2
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | ALPHA: (4841) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | (4842) all_56_2 = e2
% 177.62/26.70 | | | | | | | | | | | | | | | | (4843) op(e2, e3) = e2
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (4392),
% 177.62/26.70 | | | | | | | | | | | | | | | | (4573), (4842), (4843), (function-axioms) are
% 177.62/26.70 | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | End of split
% 177.62/26.70 | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | (4844) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.62/26.70 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.62/26.70 | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | BETA: splitting (4844) gives:
% 177.62/26.70 | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | (4845) all_56_6 = e2 & op(e1, e3) = e2
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | ALPHA: (4845) implies:
% 177.62/26.70 | | | | | | | | | | | | | | | | (4846) all_56_6 = e2
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | (4847) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.62/26.70 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | BETA: splitting (4847) gives:
% 177.62/26.70 | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70 | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (4848) all_56_12 = e2 & op(e0, e3) = e2
% 177.62/26.70 | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (167), (169), (207), (211), (213), (214), (216),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (234), (235), (236), (386), (387), (389), (4329),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (4334), (4343), (4388), (4392), (4558), (4573),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (4848), (function-axioms) are inconsistent by
% 177.62/26.70 | | | | | | | | | | | | | | | | | | sub-proof #710.
% 177.62/26.70 | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70 | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (4849) all_56_13 = e2 & op(e0, e2) = e2
% 177.62/26.70 | | | | | | | | | | | | | | | | | |
% 177.62/26.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (169), (207), (211), (213), (214), (216), (217),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (218), (220), (221), (223), (224), (225), (227),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (236),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (386), (387), (389), (4329), (4334), (4343),
% 177.62/26.70 | | | | | | | | | | | | | | | | | | (4392), (4573), (4846), (4849), (function-axioms)
% 177.62/26.70 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #728.
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | (4850) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.62/26.71 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 177.62/26.71 | | | | | | | | | | | | | | | | | (218), (220), (389), (4334), (4850),
% 177.62/26.71 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.71 | | | | | | | | | | | | | | | | | #975.
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | (4851) all_56_12 = e2 & op(e0, e3) = e2
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.71 | | | | | | | | | | | | | | | | (167), (169), (207), (211), (213), (214), (216),
% 177.62/26.71 | | | | | | | | | | | | | | | | (217), (218), (220), (221), (223), (224), (225),
% 177.62/26.71 | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 177.62/26.71 | | | | | | | | | | | | | | | | (234), (235), (236), (386), (387), (389), (4329),
% 177.62/26.71 | | | | | | | | | | | | | | | | (4334), (4343), (4388), (4392), (4558), (4573),
% 177.62/26.71 | | | | | | | | | | | | | | | | (4851), (function-axioms) are inconsistent by
% 177.62/26.71 | | | | | | | | | | | | | | | | sub-proof #710.
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | (4852) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.62/26.71 | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 177.62/26.71 | | | | | | | | | | | | | (216), (389), (4334), (4852), (function-axioms)
% 177.62/26.71 | | | | | | | | | | | | | are inconsistent by sub-proof #885.
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | (4853) all_18_2 = e1
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | COMBINE_EQS: (342), (4853) imply:
% 177.62/26.71 | | | | | | | | | | (4854) all_4_2 = e1
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | SIMP: (4854) implies:
% 177.62/26.71 | | | | | | | | | | (4855) all_4_2 = e1
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | COMBINE_EQS: (346), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4856) all_40_2 = e1
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (351), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4857) ~ (all_52_1 = e1)
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (353), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4858) ~ (all_52_2 = e1)
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (355), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4859) ~ (all_52_3 = e1)
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (357), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4860) ~ (all_52_4 = e1)
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (359), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4861) ~ (all_52_8 = e1)
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (361), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4862) ~ (all_52_12 = e1)
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | REDUCE: (36), (4855) imply:
% 177.62/26.71 | | | | | | | | | | (4863) op(e3, e3) = e1
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | BETA: splitting (91) gives:
% 177.62/26.71 | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | (4864) ~ (all_40_2 = e1)
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | REDUCE: (4856), (4864) imply:
% 177.62/26.71 | | | | | | | | | | | (4865) $false
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | CLOSE: (4865) is inconsistent.
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | (4866) ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 177.62/26.71 | | | | | | | | | | | $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3)
% 177.62/26.71 | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | BETA: splitting (4866) gives:
% 177.62/26.71 | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | (4867) ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 177.62/26.71 | | | | | | | | | | | | $i(all_40_0)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REF_CLOSE: (4334), (4867), (function-axioms) are inconsistent
% 177.62/26.71 | | | | | | | | | | | | by sub-proof #701.
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | (4868) ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 177.62/26.71 | | | | | | | | | | | | $i(all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | ALPHA: (4868) implies:
% 177.62/26.71 | | | | | | | | | | | | (4869) ~ (all_40_1 = e0)
% 177.62/26.71 | | | | | | | | | | | | (4870) op(e1, e3) = all_40_1
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 177.62/26.71 | | | | | | | | | | | | all_40_1, e3, e1, simplifying with (163), (4870)
% 177.62/26.71 | | | | | | | | | | | | gives:
% 177.62/26.71 | | | | | | | | | | | | (4871) all_52_2 = all_40_1
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | COMBINE_EQS: (274), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4872) all_54_8 = all_40_1
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REDUCE: (149), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4873) ~ (all_52_1 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REDUCE: (144), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4874) ~ (all_52_3 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | SIMP: (4874) implies:
% 177.62/26.71 | | | | | | | | | | | | (4875) ~ (all_52_3 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REDUCE: (143), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4876) ~ (all_52_6 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | SIMP: (4876) implies:
% 177.62/26.71 | | | | | | | | | | | | (4877) ~ (all_52_6 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REDUCE: (141), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4878) ~ (all_52_14 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | SIMP: (4878) implies:
% 177.62/26.71 | | | | | | | | | | | | (4879) ~ (all_52_14 = all_40_1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REDUCE: (4328), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4880) ~ (all_40_1 = e2)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | REDUCE: (4858), (4871) imply:
% 177.62/26.71 | | | | | | | | | | | | (4881) ~ (all_40_1 = e1)
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | BETA: splitting (196) gives:
% 177.62/26.71 | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | (4882) all_54_8 = e3
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | COMBINE_EQS: (4872), (4882) imply:
% 177.62/26.71 | | | | | | | | | | | | | (4883) all_40_1 = e3
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | REDUCE: (4873), (4883) imply:
% 177.62/26.71 | | | | | | | | | | | | | (4884) ~ (all_52_1 = e3)
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | REDUCE: (4875), (4883) imply:
% 177.62/26.71 | | | | | | | | | | | | | (4885) ~ (all_52_3 = e3)
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | REDUCE: (4877), (4883) imply:
% 177.62/26.71 | | | | | | | | | | | | | (4886) ~ (all_52_6 = e3)
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | REDUCE: (4879), (4883) imply:
% 177.62/26.71 | | | | | | | | | | | | | (4887) ~ (all_52_14 = e3)
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.62/26.71 | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | (4888) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.62/26.71 | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | BETA: splitting (4888) gives:
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | (4889) all_56_0 = e3 & op(e3, e3) = e3
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | (4890) op(e3, e3) = e3
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | REF_CLOSE: (8), (4863), (4890), (function-axioms) are
% 177.62/26.71 | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | (4891) all_56_2 = e3 & op(e2, e3) = e3
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | ALPHA: (4891) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | (4892) all_56_2 = e3
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.62/26.71 | | | | | | | | | | | | | | | (214), (216), (229), (233), (386), (4334), (4863),
% 177.62/26.71 | | | | | | | | | | | | | | | (4869), (4870), (4892), (function-axioms) are
% 177.62/26.71 | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | End of split
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | (4893) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.62/26.71 | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | BETA: splitting (4893) gives:
% 177.62/26.71 | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | (4894) all_56_6 = e3 & op(e1, e3) = e3
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | ALPHA: (4894) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | (4895) all_56_6 = e3
% 177.62/26.71 | | | | | | | | | | | | | | | (4896) op(e1, e3) = e3
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 177.62/26.71 | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | (4897) ~ (all_28_2 = e1)
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | REDUCE: (329), (4897) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | (4898) ~ (all_10_2 = e1)
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | (4899) all_54_5 = e3
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4899) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | (4900) all_10_2 = e3
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | REDUCE: (390), (4900) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | (4901) $false
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | CLOSE: (4901) is inconsistent.
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | (4902) ~ (all_54_5 = e3)
% 177.62/26.71 | | | | | | | | | | | | | | | | | (4903) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | BETA: splitting (4903) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4904) all_54_5 = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4904) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4905) all_10_2 = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (362), (4905) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4906) ~ (all_52_1 = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (365), (4905) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4907) ~ (all_52_4 = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (369), (4905) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4908) ~ (all_52_7 = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (373), (4905) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4909) ~ (all_52_13 = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (390), (4905) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4910) ~ (e3 = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | REDUCE: (45), (4905) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | (4911) op(e2, e2) = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | (4912) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (4912) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | (4913) all_56_9 = e2 & op(e3, e0) = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (4913) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | (4914) all_56_9 = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | (4915) op(e3, e0) = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | (4916) all_54_4 = e3
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4916) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | (4917) all_52_1 = e3
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (4917) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | (4918) $false
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4918) is inconsistent.
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | (4919) ~ (all_54_4 = e3)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | (4920) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4920) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (4921) all_54_4 = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4921) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (4922) all_52_1 = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (4922) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (4923) $false
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4923) is inconsistent.
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (4924) ~ (all_54_4 = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | (4925) all_54_4 = e1 | all_54_4 = e0
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | (4926) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4926) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_56_12 = e2 & op(e0, e3) = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4927) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_56_12 = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (4929) op(e0, e3) = e2
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4930) all_54_4 = e1
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4930) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4931) all_52_1 = e1
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4931) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4932) $false
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4932) is inconsistent.
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_54_4 = e0
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4933) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_52_1 = e0
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4934) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4935) ~ (all_52_9 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4935) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4936) ~ (all_52_9 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4934) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4937) ~ (all_52_13 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4937) implies:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4938) ~ (all_52_13 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (4934) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4939) ~ (e3 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (4934) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4940) ~ (e2 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4934) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4941) ~ (e1 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (4934) imply:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (4942) op(e2, e3) = e0
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4943) gives:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4945) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) op(e2, e3) = e3
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4942), (4946), (function-axioms) are
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4947) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) all_57_17 = e3
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) ~ (all_57_28 = e1)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4950) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) all_57_28 = e1 & op(e3, e3) = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4951) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_57_28 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4949), (4952) imply:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) $false
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4953) is inconsistent.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) all_57_29 = e1 & op(e2, e2) = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4954) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) all_57_29 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4956) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_57_28 = e2 & op(e3, e3) = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4957) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) op(e3, e3) = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (4958), (function-axioms) are
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) all_57_29 = e2 & op(e2, e2) = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4959) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_57_29 = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4955), (4960) imply:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) e2 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4961) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) e2 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (4962) imply:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) all_56_9 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (4963),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4964) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4954) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) op(e2, e2) = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4911), (4965) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) e2 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (4966) imply:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_56_9 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (4967),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4968) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) all_57_31 = e2 & op(e0, e0) = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4969) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) op(e0, e0) = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4970), (function-axioms) are
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4971) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) ~ (all_57_29 = e2)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4955), (4972) imply:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) ~ (e2 = e1)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4954) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) op(e2, e2) = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4911), (4974) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) e2 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (4975) imply:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) all_56_9 = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (4976),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4977) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) all_57_30 = e1 & op(e1, e1) = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4978) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) op(e1, e1) = e1
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4979), (function-axioms) are
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4948), (4980), (function-axioms) are
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1040.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4981) gives:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (110), (113), (168), (193), (197),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (265), (275), (384), (385), (386), (4333),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4341), (4887), (4909), (4911), (4982),
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #901.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4983) implies:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) op(e2, e3) = e2
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4942), (4984), (function-axioms) are
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.62/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4986) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4987) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) op(e2, e1) = e2
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (4331), (4936), (4988),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1145.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4989) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) all_57_21 = e2
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) ~ (all_57_29 = e0)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) op(e0, e2) = e2
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) op(e2, e0) = e2
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) op(e2, e2) = all_57_29
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4995) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) all_57_28 = e0 & op(e3, e3) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) op(e3, e3) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4997), (function-axioms) are
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) all_57_29 = e0 & op(e2, e2) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4998) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) op(e2, e2) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4991), (4994), (4999), (function-axioms) are
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1334.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5000) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) all_57_30 = e0 & op(e1, e1) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5001) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5002) op(e1, e1) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5002), (function-axioms) are
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5003) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5003) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004) all_57_31 = e0 & op(e0, e0) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5004) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5005) all_57_31 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (5005) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006) all_6_2 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5006) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5007) ~ (all_52_14 = e0)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5006) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008) op(e0, e0) = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5009) all_54_11 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4887), (5009) are inconsistent by
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5010) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5010) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011) all_54_11 = e2
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4333), (5011) are inconsistent by
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5012) ~ (all_54_11 = e2)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5013) all_54_11 = e1 | all_54_11 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5014) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5014) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5015) all_56_9 = e3 & op(e3, e0) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5015) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5016) op(e3, e0) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (4333),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909), (4938), (5007), (5010), (5016),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #941.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5017) all_56_10 = e3 & op(e2, e0) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5017) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5018) all_56_10 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5019) op(e2, e0) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5013) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5020) all_54_11 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (5020) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5021) all_52_14 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5021) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5022) all_52_14 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5022) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5023) ~ (all_52_6 = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (5022) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5024) ~ (e2 = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5025) all_54_9 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5025) are inconsistent by
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5026) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5026) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5027) all_54_9 = e2
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5027) are inconsistent by
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5028) ~ (all_54_9 = e2)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5029) all_54_9 = e1 | all_54_9 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5029) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5030) all_54_9 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5023), (5030) are inconsistent by
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5031) all_54_9 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5031) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5032) all_52_6 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5032) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5033) all_52_6 = e0
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5033) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5034) ~ (all_52_4 = e0)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5035) all_54_1 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (5035) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5036) all_52_4 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5036) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5037) all_52_4 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5037) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038) ~ (all_52_8 = e3)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5038) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039) ~ (all_52_8 = e3)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5037) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5040) ~ (all_52_12 = e3)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5040) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5041) ~ (all_52_12 = e3)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5042) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5043) all_56_0 = e3 & op(e3, e3) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5043) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5044) op(e3, e3) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4863), (5044), (function-axioms) are
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5045) all_56_1 = e3 & op(e3, e2) = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5045) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046) all_56_1 = e3
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5047) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5047) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048) all_56_9 = e1 & op(e3, e0) = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5048) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049) all_56_9 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (236), (386), (4863), (5034),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049), (function-axioms) are inconsistent by
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1059.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5050) all_56_10 = e1 & op(e2, e0) = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5050) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051) all_56_10 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5018), (5051) imply:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052) e3 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (4863), (4914), (5046), (5052),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #692.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5053) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5053) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5054) all_56_11 = e1 & op(e1, e0) = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5054) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_56_11 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5056) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) all_56_1 = e1 & op(e3, e2) = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5057) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) all_56_1 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (4863), (4914), (5058),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1398.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) all_56_3 = e1 & op(e2, e2) = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5059) implies:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_56_3 = e1
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (158), (162), (163), (164), (165),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (170), (198), (206), (207), (210),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (227),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (233), (234), (236), (276),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284), (386), (387), (4329), (4331), (4334),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857), (4858), (4861), (4863), (4869), (4870),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884), (4895), (4906), (4911), (4914), (4925),
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928), (4936), (4992), (5060), (function-axioms)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #666.
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5061) gives:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) all_56_7 = e1 & op(e1, e2) = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5062) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) all_56_7 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (163), (213), (215),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329), (4869), (4870), (4895), (5055), (5063),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_56_13 = e1 & op(e0, e2) = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5064) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) op(e0, e2) = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) all_54_2 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5066) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) all_52_8 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5039), (5067) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) $false
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5068) is inconsistent.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) ~ (all_54_2 = e3)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5070) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) all_54_2 = e2
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5071) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) all_52_8 = e2
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4330), (5072) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) $false
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5073) is inconsistent.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) all_54_2 = e1 | all_54_2 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5074) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) all_54_2 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5075) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) all_52_8 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4861), (5076) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) $false
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5077) is inconsistent.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) all_54_2 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5078) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) all_52_8 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (5079) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) op(e3, e1) = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4992), (5065) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) e2 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4993), (5019) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) e3 = e2
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5081), (5082) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5083) e3 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5046), (5083) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_56_1 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (4863), (4914),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080), (5084), (function-axioms) are inconsistent
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5085) all_56_15 = e1 & op(e0, e0) = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5085) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) op(e0, e0) = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5086), (function-axioms) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5087) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5088) all_56_4 = e3 & op(e3, e1) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5088) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) op(e3, e1) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (169), (170), (230), (386),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914), (5034), (5089), (function-axioms) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #899.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) all_56_9 = e3 & op(e3, e0) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) op(e3, e0) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5041), (5091), (function-axioms) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (4860), (4907), (5034), (5092) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) all_54_11 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5007), (5093) are inconsistent by
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1329.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5094) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_56_11 = e3 & op(e1, e0) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5095) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_56_11 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5013) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) all_54_11 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (5097) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) all_52_14 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5098) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) all_52_14 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5099) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) ~ (all_52_6 = e1)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (5099) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) ~ (e2 = e1)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) all_54_9 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5102) are inconsistent by
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) ~ (all_54_9 = e3)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) all_54_9 = e2
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5105) are inconsistent by
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) ~ (all_54_9 = e2)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_54_9 = e1 | all_54_9 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) all_54_9 = e1
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5100), (5108) are inconsistent by
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) all_54_9 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5109) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) all_52_6 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5110) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) all_52_6 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5111) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) ~ (all_52_4 = e0)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5111) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) ~ (all_52_7 = e0)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5113) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) ~ (all_52_7 = e0)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) all_54_1 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (5115) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) all_52_4 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5116) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) all_52_4 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5117) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) ~ (all_52_7 = e3)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5118) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) ~ (all_52_7 = e3)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) all_54_13 = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (5119), (5120) are inconsistent by
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (4334), (4858),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (5096), (5122), (function-axioms)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #662.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5123) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) all_56_8 = e0 & op(e1, e1) = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5124) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) op(e1, e1) = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5125), (function-axioms) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) all_56_11 = e0 & op(e1, e0) = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5126) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) op(e1, e0) = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (4329),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886), (4908), (5114), (5121), (5127),
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (4860), (4907), (5112), (5128) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) all_54_11 = e0
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5007), (5129) are inconsistent by
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1329.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) all_56_15 = e3 & op(e0, e0) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5130) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) op(e0, e0) = e3
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (5131), (function-axioms) are
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5132) implies:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) ~ (all_57_21 = e2)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4990), (5133) imply:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) $false
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5134) is inconsistent.
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5135) gives:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5136) implies:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) op(e3, e1) = e1
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4861), (5137), (function-axioms) are
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5138) gives:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5139) implies:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) ~ (all_57_30 = e2)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) op(e1, e1) = all_57_30
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4334), (5140), (5141), (function-axioms) are
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5142) implies:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) op(e0, e1) = all_57_27
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5144) gives:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5145) implies:
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) all_57_27 = e1
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_57_24 = e1
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.83/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5143), (5146) imply:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) op(e0, e1) = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5149) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5150) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) all_56_1 = e2
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4863), (5151), (5152),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #659.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5153) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5154) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) op(e3, e1) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5156) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5157) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) all_56_1 = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5151), (5158) are inconsistent by sub-proof
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5159) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) op(e2, e2) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4911), (5160), (function-axioms) are
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5161) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (4329), (4334), (4858), (4869),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4895), (5162), (function-axioms) are
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5163) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_56_13 = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5165) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (5166), (function-axioms) are inconsistent
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5167) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_56_13 = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5164), (5168) are inconsistent by sub-proof
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5169) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (169), (217), (4334),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936), (5148), (5155), (function-axioms) are
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5171) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) op(e0, e0) = e1
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5172), (function-axioms) are
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5173) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) all_56_9 = e3
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4914), (5174) are inconsistent by sub-proof
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5175) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) all_56_3 = e2
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (4911), (5177),
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5178) gives:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) all_57_30 = e0 & op(e1, e1) = e0
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5179) implies:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) op(e1, e1) = e0
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5180), (function-axioms) are
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5181) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_57_31 = e0 & op(e0, e0) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5182) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_57_31 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (5183) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) all_6_2 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (5184) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) ~ (all_52_7 = e0)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (5184) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) ~ (all_52_11 = e0)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5184) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) ~ (all_52_14 = e0)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_54_11 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4887), (5188) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5190) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_56_6 = e0 & op(e1, e3) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5191) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) op(e1, e3) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4869), (4870), (5192), (function-axioms)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #698.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_56_7 = e0 & op(e1, e2) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5193) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_56_7 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5196) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) op(e3, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (4333),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909), (4938), (5187), (5189), (5197),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #941.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5198) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) all_56_10 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4858), (5194), (5200),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #682.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5201) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) op(e1, e1) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5203), (function-axioms) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5204) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) all_56_11 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5206) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4857), (5207), (function-axioms) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5208) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) all_56_3 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5176), (5209) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) e2 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5210) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) e2 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (5211) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_56_9 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (5199), (5205),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212), (function-axioms) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #954.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5213) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5214) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) op(e2, e1) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5216) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5217) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) op(e3, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5219) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_56_0 = e3 & op(e3, e3) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5220) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) op(e3, e3) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4863), (5221), (function-axioms) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5222) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) all_56_1 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (169), (5215), (5218), (5224),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #653.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5225) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5226) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) op(e1, e1) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (5227), (function-axioms) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_56_14 = e3 & op(e0, e1) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5228) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) op(e0, e1) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) all_54_11 = e2
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4333), (5230) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_54_11 = e1 | all_54_11 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5231) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_54_11 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (5232) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) all_52_14 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5233) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_52_14 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5234) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) ~ (all_52_13 = e1)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) all_54_7 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (5236) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) all_52_13 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5237) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_52_13 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5238) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) ~ (all_52_9 = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) all_54_6 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (5239), (5240) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) ~ (all_54_6 = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5242) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) all_54_6 = e2
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4331), (5243) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1241.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) all_54_6 = e1 | all_54_6 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5244) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_54_6 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (5245) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_52_9 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5246) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_52_9 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5239), (5247) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) ~ (e3 = e1)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (5148), (5229) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) e3 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5223), (5249) imply:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) all_56_1 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (4863), (4914),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218), (5250), (function-axioms) are inconsistent
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) all_54_6 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4936), (5251) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (4909), (4938), (5235), (5252) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #944.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_54_11 = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5187), (5253) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1329.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5254) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5255) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) op(e3, e1) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (5218), (5256), (function-axioms) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5257) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) all_56_9 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (5199), (5205),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258), (function-axioms) are inconsistent by
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) all_56_5 = e0 & op(e2, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4936), (5259), (function-axioms) are
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5260) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) all_56_8 = e0 & op(e1, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5261) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) op(e1, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (4329), (4895),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205), (5262), (function-axioms) are inconsistent
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1228.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) all_56_14 = e0 & op(e0, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5263) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) op(e0, e1) = e0
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5143), (5186), (5264), (function-axioms)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #902.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5265) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) all_56_10 = e1
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914), (4938), (5205), (5266), (function-axioms)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1205.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5268) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) all_56_11 = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (4334), (4858),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194), (5269), (function-axioms) are inconsistent
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #663.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5270) implies:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) op(e0, e0) = e3
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (206), (4928), (5148),
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185), (5271), (function-axioms) are inconsistent
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #752.
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (4334), (5187), (5272),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5273) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) ~ (all_57_24 = e1)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5147), (5274) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) $false
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5275) is inconsistent.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5276) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5277) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) op(e1, e2) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4329), (5278), (function-axioms) are
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5279) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) all_56_13 = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) op(e0, e2) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (158), (162), (163), (164), (165),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (170), (198), (206), (207), (210),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (226),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (233), (234), (236),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (284), (386), (387), (4329), (4331),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4884), (4895), (4906), (4911), (4914),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925), (4936), (4938), (5280), (5281),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #650.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5282) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) ~ (all_57_15 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) op(e0, e3) = all_57_25
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) op(e0, all_57_31) = all_57_15
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4341), (5285) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) op(e0, all_6_2) = all_57_15
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (5143)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_57_27 = all_52_11
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (4929), (5284)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) all_57_25 = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (4915) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) all_52_12 = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (5290) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) ~ (all_6_2 = e2)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) ~ (all_38_2 = e3)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (311), (5292) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) ~ (all_6_2 = e3)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (5283), (5287),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293), (function-axioms) are inconsistent by
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) all_38_2 = e3
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (5294) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) all_6_2 = e3
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5295) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) all_6_2 = e3
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (5296) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_57_31 = e3
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (5296) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) ~ (all_52_7 = e3)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5296) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) op(e0, e0) = e3
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5286) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_57_31 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5297), (5300) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) e3 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (5301) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) $false
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5302) is inconsistent.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) ~ (all_57_31 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (4911), (5305),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1585.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_57_30 = e0 & op(e1, e1) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5307) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) op(e1, e1) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5308), (function-axioms) are
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5309) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_57_31 = e0 & op(e0, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5310) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) op(e0, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5299), (5311), (function-axioms) are
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5312) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) op(e1, e0) = all_57_24
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5304) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5289), (5314) are inconsistent by sub-proof
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5315) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5316) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) op(e2, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4938), (5317), (function-axioms) are
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1504.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_57_27 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) all_57_24 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5288), (5319) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_52_11 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5321) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_52_11 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5322) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) ~ (all_52_7 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5313), (5320) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) op(e1, e0) = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) all_54_13 = e3
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (5298), (5325) are inconsistent by
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (4329),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886), (4908), (5323), (5324), (5326),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5327) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_56_13 = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (5329) op(e0, e2) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5330) all_54_4 = e1
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5330) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_52_1 = e1
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5331) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5332) $false
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5332) is inconsistent.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_54_4 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5333) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5334) all_52_1 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5334) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5335) ~ (all_52_9 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5335) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5336) ~ (all_52_9 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5334) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5337) ~ (all_52_13 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5337) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5338) ~ (all_52_13 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5334) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5339) ~ (e3 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5334) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5340) ~ (e2 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5334) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5341) ~ (e1 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (146), (158), (162), (163), (164), (165),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (169), (170), (198), (206), (207), (210),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (226),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (233), (234), (236),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (276), (284), (386), (387), (4329), (4331),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4884), (4895), (4906), (4911), (4914),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (4925), (5328), (5329), (5336), (5338),
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | #650.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | (5342) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5342) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (5343) all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5343) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_56_14 = e2
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5345) all_54_4 = e1
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5345) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_52_1 = e1
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5346) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5347) $false
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5347) is inconsistent.
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_54_4 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5348) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_52_1 = e0
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5349) imply:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5350) ~ (all_52_9 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5350) implies:
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | (5351) ~ (all_52_9 = e0)
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5349) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (5352) ~ (all_52_13 = e0)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5352) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (5353) ~ (all_52_13 = e0)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5349) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (5354) ~ (e3 = e0)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5349) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (5355) ~ (e2 = e0)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5349) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (5356) ~ (e1 = e0)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5357) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5358) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) all_56_1 = e2
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) op(e3, e2) = e2
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4863), (5359), (5361),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #659.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5362) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5363) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) all_56_4 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) op(e3, e1) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5366) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5367) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_56_1 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5359), (5368) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) e3 = e2
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5344), (5364), (5369), (function-axioms)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #648.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5370) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) op(e2, e2) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4911), (5371), (function-axioms) are
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5372) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (4329), (4334), (4858), (4869),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4895), (5373), (function-axioms) are
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5374) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) all_56_13 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5376) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) op(e0, e0) = e0
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5378) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5379) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_56_9 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (5380) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) e3 = e2
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5344), (5364), (5381), (function-axioms)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #648.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5382) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_56_10 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5384) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5359), (5385),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #685.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5386) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_56_10 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5383), (5387) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (39), (162), (165), (169),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (387), (4329), (4895), (5344),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (5365), (5388), (function-axioms) are
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5389) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5390) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) all_56_11 = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5392) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5359), (5393),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #685.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5394) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_56_10 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_56_6 = e1 & op(e1, e3) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5397) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) op(e1, e3) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4858), (5398), (function-axioms) are
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5399) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_56_7 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5401) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (5402), (function-axioms) are inconsistent
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5403) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_56_13 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5375), (5404) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) e3 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5391), (5405) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_56_11 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (163), (213), (215),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329), (4869), (4870), (4895), (5400), (5406),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5407) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_56_14 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5344), (5409) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) e2 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5359), (5410) imply:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_56_1 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (4863), (4914), (5411),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1398.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5412) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_56_15 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (4914), (5353),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391), (5413), (function-axioms) are inconsistent
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1201.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5414) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5415) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) op(e1, e1) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5416), (function-axioms) are
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5417) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_56_11 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914), (5353), (5395), (5418), (function-axioms)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1205.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5419) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5420) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_56_11 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (165), (169), (215),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (4329), (4895), (5344), (5351), (5365),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421), (function-axioms) are inconsistent by
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #647.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5422) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_56_15 = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (4914), (5353),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391), (5423), (function-axioms) are inconsistent
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1201.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5424) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) op(e0, e0) = e3
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5377), (5425), (function-axioms) are
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5426) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5428) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (5429), (function-axioms) are inconsistent
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5375), (5430) are inconsistent by sub-proof
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1460.
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5432) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) op(e0, e1) = e1
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5427) gives:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5434) implies:
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_56_12 = e0
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) op(e0, e3) = e0
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (135), (158),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (207), (208), (233), (235), (387), (389),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (4895), (5360), (5375), (5435), (5436),
% 177.93/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #643.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5375), (5433), (5437),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #782.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5438) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) op(e0, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5439), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5440) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) all_56_9 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4914), (5441) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5442) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_56_3 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (5353), (5444), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #686.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5445) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5446) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1232.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5447) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_56_12 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) op(e3, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5452) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5453) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) all_56_9 = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5454),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5455) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) all_56_10 = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (217),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (224), (229), (386), (4334), (4869),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (5344), (5443), (5448), (5456),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #642.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (39), (162), (165), (169),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (387), (4329), (4895), (5344),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (5451), (5457), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5458) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) all_56_5 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) op(e2, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (4334),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344), (5459), (5460), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #979.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (5344), (5461), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #983.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5462) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5463) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) op(e1, e2) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4329), (5464), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5465) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) all_56_13 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) op(e0, e2) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5468) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) op(e0, e0) = e0
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5470) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5471) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) all_56_1 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5473) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4914), (5474) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5475) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_56_10 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (5353), (5477), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #686.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5478) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5479) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_56_6 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (5480) imply:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) e3 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5476), (5481) imply:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) all_56_10 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (39), (135), (145), (146),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (163), (164), (165), (167), (169),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (210), (212), (213), (214),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (227), (228), (229), (230), (233),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (284), (386), (387), (4329), (4334),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857), (4858), (4861), (4863), (4869), (4870),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884), (4895), (4906), (4911), (4925), (5467),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482), (function-axioms) are inconsistent by
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #667.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5483) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_56_12 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5485) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5486) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) all_56_9 = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5487),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5488) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) all_56_10 = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (224), (229), (230), (236), (386),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4863), (4869), (4870), (4911), (4914),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344), (5472), (5484), (5489), (function-axioms)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #641.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5490) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5491) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) all_56_11 = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5494) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) op(e3, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (165), (169), (215),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (4329), (4895), (5344), (5351), (5492),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495), (function-axioms) are inconsistent by
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #647.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5496) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) all_56_5 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) op(e2, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (4334),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344), (5497), (5498), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #979.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5499) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5500) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) op(e1, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (5501), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) all_56_14 = e3 & op(e0, e1) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5502) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_56_14 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5344), (5503) imply:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) e3 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5504) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) e3 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5476), (5505) imply:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) all_56_10 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (39), (135), (145), (146),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (163), (164), (165), (167), (169),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (210), (212), (213), (214),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (227), (228), (229), (230), (233),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (284), (386), (387), (4329), (4334),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857), (4858), (4861), (4863), (4869), (4870),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884), (4895), (4906), (4911), (4925), (5467),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506), (function-axioms) are inconsistent by
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #667.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5507) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) op(e0, e0) = e1
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5508), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5510) implies:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) all_56_11 = e3
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (5353), (5512), (function-axioms) are
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #686.
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) all_56_6 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (5515) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) e3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5516) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_56_11 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) all_56_2 = e0 & op(e2, e3) = e0
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5519) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) all_56_2 = e0
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5470) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5521) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5522) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) all_56_9 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (230), (234), (236), (386),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4858), (4863), (5472), (5516), (5517),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #639.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5524) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_56_10 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5526) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5527) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) all_56_9 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5528),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5529) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) all_56_10 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (4863), (4914), (5472), (5525),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530), (function-axioms) are inconsistent by
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #652.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (387), (389), (4914),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5525), (5531), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #811.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5517) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) e3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (230), (234), (236), (386),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4858), (4863), (5472), (5516), (5517),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #639.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5533) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) op(e0, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5469), (5534), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5535) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) all_56_3 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5537) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) op(e3, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5539), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5520), (5540) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #638.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (5515) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5541) e3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5536) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5542) all_56_3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5543) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5543) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5544) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5544) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5545) op(e3, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5545), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5546) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) all_56_2 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5520), (5547) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1196.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5514) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1232.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5548) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) all_56_12 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (163),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (210), (217), (218), (224), (229), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (387), (4334), (4863),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (4914), (5344), (5517), (5542),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549), (function-axioms) are inconsistent by
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #637.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5550) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5551) all_56_12 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5552) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5553) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) all_56_9 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5536) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) all_56_3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (163),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (210), (217), (218), (224), (229), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (387), (4334), (4863),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (4914), (5344), (5517), (5551),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5555), (function-axioms) are inconsistent by
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #637.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5556) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557) all_56_10 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (169),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (230), (234), (236), (386), (387),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (4863), (4914), (5517), (5557),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #810.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5517) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5558) e3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5536) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_56_3 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (163),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (210), (217), (218), (224), (229), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (387), (4334), (4863),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (4914), (5344), (5517), (5551),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559), (function-axioms) are inconsistent by
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #637.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5560) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561) op(e0, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5469), (5561), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5562) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5562) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5563) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5563) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5564) all_56_7 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (4858), (5564), (5565),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #658.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5566) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5517), (5566), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #636.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5567) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5567) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5568) all_56_13 = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5466), (5568) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1121.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569) all_56_3 = e0 & op(e2, e2) = e0
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5569) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570) op(e2, e2) = e0
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4911), (5570), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5571) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5351), (5353), (5571),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1195.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5572) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5572) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573) all_56_12 = e2
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5574) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5575) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5576) all_56_9 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5576),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5577) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_56_10 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (224), (229), (230), (236), (386),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4863), (4869), (4870), (4911), (4914),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344), (5472), (5573), (5578), (function-axioms)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #641.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5579) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5580) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) all_56_11 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5581) imply:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) e3 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (4863), (4914), (5472), (5582),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #692.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5583) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) all_56_15 = e1
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (4914), (5353),
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5584), (function-axioms) are inconsistent
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1201.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5585) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) op(e0, e0) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5469), (5586), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5587) implies:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) op(e2, e2) = e3
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4911), (5588), (function-axioms) are
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5589) gives:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (4329), (4334), (4858), (4869),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4895), (5590), (function-axioms) are
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5466), (5591) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #760.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5592) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (5353), (5594), (function-axioms) are
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #686.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5595) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5596) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) all_56_6 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5597) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5598) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_56_12 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5593) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5600) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_56_12 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5599), (5601) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5602) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_56_13 = e0 & op(e0, e2) = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5603) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) all_56_13 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5466), (5604) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_56_14 = e0 & op(e0, e1) = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5605) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) all_56_14 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5344), (5606) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1437.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (5607) all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5607) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (5608) op(e0, e0) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (5608), (function-axioms) are
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | (5609) all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (5609) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | (5610) all_56_10 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | (5611) all_54_4 = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5611) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | (5612) all_52_1 = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5612) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | (5613) $false
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5613) is inconsistent.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | (5614) ~ (all_54_4 = e3)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | (5615) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | (5616) all_54_4 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5616) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | (5617) all_52_1 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5617) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | (5618) $false
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5618) is inconsistent.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | (5619) ~ (all_54_4 = e2)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | (5620) all_54_4 = e1 | all_54_4 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | (5621) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5621) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_56_12 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5624) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5624) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) op(e3, e3) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5626), (function-axioms) are
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) all_56_1 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_54_4 = e1
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5629) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_52_1 = e1
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5630) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) $false
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5631) is inconsistent.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_54_4 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5632) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) all_52_1 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5633) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) ~ (all_52_9 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5634) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) ~ (all_52_9 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5633) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) ~ (e3 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5633) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) ~ (e2 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5633) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) ~ (e1 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (169), (210), (213), (214),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (220), (222), (224),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (234), (236), (386), (387), (4329),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4895), (4911), (5610), (5623), (5628),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635), (function-axioms) are inconsistent by
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #678.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (5639) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5639) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5640) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_56_4 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_54_4 = e1
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5642) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_52_1 = e1
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5643) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) $false
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5644) is inconsistent.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_54_4 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5645) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_52_1 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5646) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) ~ (all_52_9 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5647) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) ~ (all_52_9 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5646) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) ~ (e3 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5646) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) ~ (e2 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5646) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) ~ (e1 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (163), (229), (386), (4869),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4911), (5623), (5652), (function-axioms)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #683.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5653) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (210), (215), (217), (218), (230),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (387), (4329), (4334),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861), (4863), (4895), (5610), (5641), (5648),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654), (function-axioms) are inconsistent by
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5655) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) all_56_10 = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5610), (5656) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5657) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_56_9 = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_54_4 = e1
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5659) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) all_52_1 = e1
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5660) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) $false
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5661) is inconsistent.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_54_4 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5662) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) all_52_1 = e0
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5663) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) ~ (all_52_9 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5664) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) ~ (all_52_9 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5663) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) ~ (all_52_13 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5666) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) ~ (all_52_13 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5663) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) ~ (e3 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5663) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) ~ (e2 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5663) imply:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) ~ (e1 = e0)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (163), (229), (386), (4869),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4911), (5623), (5671), (function-axioms)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #683.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5672) gives:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5673) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) op(e2, e1) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (206), (207),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (213), (214), (215), (216), (217),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (224), (227), (228),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (234), (236), (386), (387), (4329),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870), (4895), (4911), (5610), (5623), (5658),
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665), (5667), (5674), (function-axioms) are
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #668.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5675) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) all_56_10 = e3
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5610), (5676) are inconsistent by sub-proof
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (5677) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5677) implies:
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (5678) op(e0, e2) = e2
% 177.93/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (39), (135), (145), (146),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (163), (164), (165), (167), (169),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (210), (212), (213), (214),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (227), (228), (229), (230), (233),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (284), (386), (387), (4329), (4334),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (4857), (4858), (4861), (4863), (4869), (4870),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (4884), (4895), (4906), (4911), (5610), (5620),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (5678), (function-axioms) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #667.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | (5679) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5679) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (5680) all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5680) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (5681) all_56_14 = e2
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5682) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (4911), (5682), (function-axioms)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #689.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5683) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5683) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5684) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_56_5 = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) op(e2, e1) = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (4334),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5681), (5685), (5686), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #979.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5687) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_56_10 = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5610), (5688) are inconsistent by sub-proof
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | #958.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (5690) op(e0, e0) = e2
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (5690), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | (5691) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (213),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | (214), (216), (389), (4334), (4858), (5691),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | #634.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | (5692) all_54_5 = e1 | all_54_5 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (4898), (5692) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | (5693) all_28_2 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (5693) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | (5694) all_10_2 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | SIMP: (5694) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | (5695) all_10_2 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | REDUCE: (367), (5695) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | (5696) ~ (all_52_6 = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | REDUCE: (373), (5695) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | (5697) ~ (all_52_13 = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | REDUCE: (390), (5695) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | (5698) ~ (e3 = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | REDUCE: (45), (5695) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | (5699) op(e2, e2) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | (5700) all_54_9 = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5700) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | sub-proof #1061.
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | (5701) ~ (all_54_9 = e3)
% 177.93/26.82 | | | | | | | | | | | | | | | | | (5702) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | (5703) all_54_9 = e2
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5703) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | (5704) ~ (all_54_9 = e2)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | (5705) all_54_9 = e1 | all_54_9 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | (5706) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (5706) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5707) all_56_6 = e1 & op(e1, e3) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (5707) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5708) op(e1, e3) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4858), (5708), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5709) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (5709) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5710) all_56_7 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | (5711) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4869), (4870), (5710), (5711),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | #633.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | (5712) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5713) all_56_8 = e0 & op(e1, e1) = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5713) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5714) op(e1, e1) = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5714), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5715) all_56_11 = e0 & op(e1, e0) = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5715) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5716) op(e1, e0) = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (5696), (5705), (5716),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | #1046.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | (5717) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5718) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (5718) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5719) op(e1, e1) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5719), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5720) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (5720) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5721) all_56_11 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | (5722) op(e1, e0) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | (5723) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5723) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5724) all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4857), (5724), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5725) all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5725) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5726) all_56_3 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | (5727) all_54_9 = e3
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5727) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_54_9 = e2
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5728) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_54_9 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5696), (5729) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5730) all_54_9 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5730) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_52_6 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5731) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5732) all_52_6 = e0
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5732) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5733) ~ (all_52_4 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5732) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5734) ~ (all_52_7 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5734) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5735) ~ (all_52_7 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5732) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5736) ~ (all_52_14 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5736) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5737) ~ (all_52_14 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4886), (5732) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5738) ~ (e3 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4329), (5732) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5739) ~ (e2 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5696), (5732) imply:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | (5740) ~ (e1 = e0)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5741) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (5742), (function-axioms) are inconsistent
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5743) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) all_56_13 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (220),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (227), (228), (229), (230),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (239), (251), (254), (264),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (276), (284), (285), (364), (375), (383),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (386), (387), (389), (4329), (4334),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341), (4857), (4858), (4859), (4862), (4863),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (4884), (4885), (4895), (4896),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697), (5699), (5721), (5722), (5726), (5733),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735), (5737), (5744), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #617.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5745) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5746) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) all_56_14 = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) op(e0, e1) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (210), (211), (212), (213),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (220), (222),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (227), (229), (230), (233), (234),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (251), (254), (264), (275), (276),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (284), (285), (364), (375), (383), (384), (386),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (4329), (4334), (4341), (4857),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858), (4859), (4862), (4863), (4869), (4870),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884), (4885), (4895), (4896), (5697), (5699),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5722), (5726), (5733), (5737), (5747),
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (function-axioms) are inconsistent by
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #618.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5749) implies:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) op(e0, e0) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5750), (function-axioms) are
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | (5751) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5751) gives:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | (5752) all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5752) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | (5753) all_56_5 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | (5754) op(e2, e1) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | (5755) all_54_9 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5755) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (5756) all_54_9 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5756) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5757) all_54_9 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5696), (5757) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5758) all_54_9 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5758) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5759) all_52_6 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5759) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_52_6 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5760) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5761) ~ (all_52_4 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5760) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5762) ~ (all_52_7 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5762) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5763) ~ (all_52_7 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4886), (5760) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5764) ~ (e3 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4329), (5760) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5765) ~ (e2 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5696), (5760) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5766) ~ (e1 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (5699), (5767), (function-axioms)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #626.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5768) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5769) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) op(e2, e1) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5754), (5770), (function-axioms) are
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5771) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_56_10 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5773) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5774) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_56_9 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5776) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_56_2 = e0 & op(e2, e3) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5777) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) op(e2, e3) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (4863), (5778), (5779),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #622.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5780) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5781) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) all_56_6 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5782) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1454.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5783) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) all_56_12 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5785) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (5786), (function-axioms) are inconsistent
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) all_56_13 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (169), (170), (206), (207), (208),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (213), (214), (215), (216), (217),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (224), (227), (228), (229), (230), (233),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (387), (389), (4329), (4334),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858), (4863), (4869), (4870), (4895), (5699),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5753), (5754), (5761), (5763), (5784),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788), (function-axioms) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #627.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5789) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5790) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_56_14 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (169), (170), (220),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (386), (4334), (5754), (5761), (5775),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791), (function-axioms) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #897.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5792) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) op(e0, e0) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5793), (function-axioms) are
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) all_56_3 = e0 & op(e2, e2) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5794) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) op(e2, e2) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5699), (5795), (function-axioms) are
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5796) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) all_56_5 = e0 & op(e2, e1) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5753), (5797) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #883.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) all_56_10 = e0 & op(e2, e0) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5772), (5798) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #882.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5772), (5799) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1502.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (213),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (389), (4334), (4858), (5800),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | (5801) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5801) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | (5802) all_56_10 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | (5803) all_54_9 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5803) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (5804) all_54_9 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5804) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5805) all_54_9 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5696), (5805) are inconsistent by
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5806) all_54_9 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5806) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5807) all_52_6 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5807) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5808) all_52_6 = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5808) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5809) ~ (all_52_4 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5808) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5810) ~ (all_52_7 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5810) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5811) ~ (all_52_7 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5808) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5812) ~ (all_52_14 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5812) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5813) ~ (all_52_14 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4886), (5808) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5814) ~ (e3 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4329), (5808) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5815) ~ (e2 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5696), (5808) imply:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | (5816) ~ (e1 = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5817) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5818) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) all_56_9 = e2
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5802), (5819), (5820) are inconsistent
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1210.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5821) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5822) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) all_56_11 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5721), (5823) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1209.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5824) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) op(e0, e0) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5826) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) op(e0, e0) = e0
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5825), (5827), (function-axioms) are
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5828) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (5699), (5830), (function-axioms)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #626.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5831) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5832) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) all_56_5 = e3
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5834) gives:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (230),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5809), (5835),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #632.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5836) implies:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) op(e2, e1) = e1
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (207), (208), (220), (230), (386),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (4334), (5809), (5811), (5819),
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829), (5837), (function-axioms) are inconsistent
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #629.
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5838) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5839) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) op(e1, e1) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5840), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5841) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) all_56_14 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) op(e0, e1) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5844) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5845) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_56_1 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (386), (4863), (5819), (5846),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1398.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5847) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) all_56_3 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (210), (211), (212), (213),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (220), (222),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (227), (229), (230), (233), (234),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (239), (251), (254), (264), (275), (276),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284), (285), (364), (375), (383), (384), (386),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (4329), (4334), (4341), (4857),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858), (4859), (4862), (4863), (4869), (4870),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884), (4885), (4895), (4896), (5697), (5699),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5722), (5809), (5813), (5842), (5843),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848), (function-axioms) are inconsistent by
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #618.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5849) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5850) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) all_56_7 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (163), (213), (215),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329), (4869), (4870), (4895), (5721), (5851),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #664.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5852) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) all_56_13 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5854) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5855) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) all_56_1 = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5857) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5858) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) all_56_1 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5856), (5859) imply:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) e3 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5860) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) e3 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5833), (5861) imply:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) all_56_5 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5843), (5862), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5863) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) all_56_3 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5865) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5866) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5866) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5867) all_56_12 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (158), (5811), (5829), (5843), (5867),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #753.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5868) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) all_56_13 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5853), (5869) imply:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5870) e2 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5864), (5870) imply:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_56_3 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (220),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (227), (228), (229), (230),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (239), (251), (254), (264),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275), (276), (284), (285), (364), (375), (383),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384), (386), (387), (389), (4329), (4334),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341), (4857), (4858), (4859), (4862), (4863),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (4884), (4885), (4895), (4896),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697), (5699), (5721), (5722), (5809), (5811),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813), (5853), (5871), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #617.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5872) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5872) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5873) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) all_56_14 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (220), (230), (386), (4334), (5809),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819), (5874), (function-axioms) are inconsistent
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #625.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5875) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) op(e0, e0) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (5876), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5877) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5878) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) op(e1, e2) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4329), (5879), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5880) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_56_13 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5853), (5881) imply:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) e2 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5819), (5882) imply:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) all_56_9 = e1
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (236), (386), (4863), (5809),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883), (function-axioms) are inconsistent by
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1059.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5884) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) op(e2, e2) = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5699), (5885), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (4329), (4869), (4870), (4895), (5721),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853), (5886), (function-axioms) are inconsistent
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #628.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5887) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) all_56_10 = e3
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5802), (5888) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5889) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_56_10 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5802), (5890) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1064.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (213),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (389), (4334), (4858), (5891),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | (5892) all_56_12 = e3 & op(e0, e3) = e3
% 177.93/26.84 | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | ALPHA: (5892) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | (5893) all_56_12 = e3
% 177.93/26.84 | | | | | | | | | | | | | | | (5894) op(e0, e3) = e3
% 177.93/26.84 | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.84 | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | (5895) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | BETA: splitting (5895) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | (5896) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | ALPHA: (5896) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | (5897) op(e3, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5897), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | (5898) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | (5899) op(e2, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | (5900) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.84 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (5899), (5900),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | #1181.
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | (5901) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4869), (4870), (5893), (5901),
% 177.93/26.84 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | #616.
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | End of split
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | (5902) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.84 | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | BETA: splitting (5902) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | (5903) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | ALPHA: (5903) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | (5904) all_56_6 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | (5905) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.84 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | BETA: splitting (5905) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | (5906) all_56_0 = e0 & op(e3, e3) = e0
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | (5907) op(e3, e3) = e0
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (5907), (function-axioms) are
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | (5908) all_56_2 = e0 & op(e2, e3) = e0
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | ALPHA: (5908) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | (5909) op(e2, e3) = e0
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | (5910) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5910) gives:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | (5911) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5911) implies:
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | (5912) all_56_12 = e2
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5893), (5912) are inconsistent by sub-proof
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | | #1555.
% 177.93/26.84 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | (5913) all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5913) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | (5914) all_56_13 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | (5915) op(e0, e2) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | (5916) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5916) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | (5917) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5917) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | (5918) all_56_1 = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (5919) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5919) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5920) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5921) op(e0, e3) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (5894), (5921), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5922) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5914), (5922) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | #1122.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (5923) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5923) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5924) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5925) all_56_14 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (5926) op(e0, e1) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (135), (158), (170), (4863), (5915), (5927),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #690.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5929) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) all_56_4 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5931) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5932) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) all_56_4 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5930), (5933) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_56_5 = e0 & op(e2, e1) = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5934) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) all_56_5 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5936) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_56_2 = e3 & op(e2, e3) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5937) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_56_2 = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (5904), (5938), (function-axioms)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #695.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5939) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) op(e2, e2) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5941) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5942) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) op(e2, e3) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5909), (5943), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5944) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) op(e2, e2) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5940), (5945), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5946) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5947) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_56_5 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5926), (5948), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5949) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) all_56_10 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5951) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5952) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) all_56_9 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (5930), (5953),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (162), (227), (4329), (5914), (5918),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940), (5950), (5954), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #614.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5955) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5956) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_56_11 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (4857), (5940), (5958),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #613.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5959) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5960) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_56_5 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5935), (5961) imply:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) e1 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5957), (5962) imply:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_56_11 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (4334),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904), (5963), (function-axioms) are inconsistent
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1162.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (162), (227), (4329), (5914), (5918),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940), (5950), (5964), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #614.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5965) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) op(e0, e0) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5966), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5967) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5935), (5968) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1332.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_56_10 = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5972) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) op(e2, e3) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5909), (5973), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5974) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) all_56_3 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5976) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5977) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_56_1 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (230), (236),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (4863), (5930), (5978), (function-axioms)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1187.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5975), (5979) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1065.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5980) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (4334), (4869), (4870), (5904), (5981),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5982) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) all_56_13 = e1
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5914), (5983) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1086.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5926), (5970), (5984), (function-axioms)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4334), (5926), (5985),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #916.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5986) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_56_9 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5988) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) op(e0, e0) = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5990) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5987), (5991) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5992) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) all_56_10 = e3
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (5918), (5994),
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1572.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5995) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5996) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_56_4 = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) op(e3, e1) = e0
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5999) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6000) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) op(e2, e3) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5909), (6001), (function-axioms) are
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6002) implies:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_56_3 = e2
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6004) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4857), (6005), (function-axioms) are
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6006) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) all_56_3 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6003), (6007) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) e2 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5987), (6008) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) all_56_9 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863), (5997), (5998), (6009), (function-axioms)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1375.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6010) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) op(e2, e1) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (4334), (5925), (5997),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012), (function-axioms) are inconsistent by
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #906.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6013) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_56_10 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5993), (6014) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) e3 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6015) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) e3 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5918), (6016) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_56_1 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (4863), (5987),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998), (6017), (function-axioms) are inconsistent
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5926), (5993), (6018), (function-axioms)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_56_9 = e0 & op(e3, e0) = e0
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6019) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) all_56_9 = e0
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5987), (6020) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6021) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6022) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_56_11 = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (4334), (4858),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4870), (6023), (6024), (function-axioms)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #662.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (216),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334), (5904), (6025), (function-axioms) are
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #696.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6026) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) op(e0, e0) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5989), (6027), (function-axioms) are
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6028) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (5893), (5914), (5926), (6029),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #712.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (6030) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6030) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (6031) op(e0, e0) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6031), (function-axioms) are
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (6032) all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6032) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (6033) op(e2, e2) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (6034) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (4863), (6033), (6034),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (6035) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6035) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (4334), (4869), (4870), (5904), (6036),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | (6037) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5914), (6037) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | | #1122.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | (6038) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6038) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (6039) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6039) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (6040) all_56_7 = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (216), (4334), (4869), (4870), (5904), (6040),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | #676.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | (6041) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5914), (6041) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | | #760.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | (6042) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6042) gives:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | (6043) all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6043) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | (6044) all_56_14 = e2
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (217), (218),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | (220), (4334), (6044), (function-axioms) are
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #976.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | (6045) all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6045) implies:
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | (6046) op(e0, e0) = e2
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6046), (function-axioms) are
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | (6047) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.86 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 177.93/26.86 | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4869), (4870), (5893), (6047),
% 177.93/26.86 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | | #616.
% 177.93/26.86 | | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | (6048) all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.86 | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5893), (6048) are inconsistent by sub-proof
% 177.93/26.86 | | | | | | | | | | | | | | | | | #714.
% 177.93/26.86 | | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | (6049) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | BETA: splitting (6049) gives:
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | (6050) all_54_8 = e2
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | COMBINE_EQS: (4872), (6050) imply:
% 177.93/26.86 | | | | | | | | | | | | | | (6051) all_40_1 = e2
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | REDUCE: (4880), (6051) imply:
% 177.93/26.86 | | | | | | | | | | | | | | (6052) $false
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | CLOSE: (6052) is inconsistent.
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | (6053) all_54_8 = e1 | all_54_8 = e0
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | BETA: splitting (6053) gives:
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | (6054) all_54_8 = e1
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | COMBINE_EQS: (4872), (6054) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6055) all_40_1 = e1
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (4881), (6055) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6056) $false
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | CLOSE: (6056) is inconsistent.
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | (6057) all_54_8 = e0
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | COMBINE_EQS: (4872), (6057) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6058) all_40_1 = e0
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (4869), (6058) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6059) $false
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | CLOSE: (6059) is inconsistent.
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | End of split
% 177.93/26.86 | | | | | | | | |
% 177.93/26.86 | | | | | | | | End of split
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | End of split
% 177.93/26.86 | | | | | | |
% 177.93/26.86 | | | | | | End of split
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | Case 2:
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | (6060) all_12_2 = e0
% 177.93/26.86 | | | | | | (6061) ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 177.93/26.86 | | | | | | $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e0, e2) =
% 177.93/26.86 | | | | | | all_12_1 & $i(all_12_1))
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | COMBINE_EQS: (335), (6060) imply:
% 177.93/26.86 | | | | | | (6062) all_10_2 = e0
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | SIMP: (6062) implies:
% 177.93/26.86 | | | | | | (6063) all_10_2 = e0
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (362), (6063) imply:
% 177.93/26.86 | | | | | | (6064) ~ (all_52_1 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (365), (6063) imply:
% 177.93/26.86 | | | | | | (6065) ~ (all_52_4 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (367), (6063) imply:
% 177.93/26.86 | | | | | | (6066) ~ (all_52_6 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (369), (6063) imply:
% 177.93/26.86 | | | | | | (6067) ~ (all_52_7 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (371), (6063) imply:
% 177.93/26.86 | | | | | | (6068) ~ (all_52_9 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (373), (6063) imply:
% 177.93/26.86 | | | | | | (6069) ~ (all_52_13 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | REDUCE: (390), (6063) imply:
% 177.93/26.86 | | | | | | (6070) ~ (e3 = e0)
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | BETA: splitting (225) gives:
% 177.93/26.86 | | | | | |
% 177.93/26.86 | | | | | | Case 1:
% 177.93/26.86 | | | | | | |
% 177.93/26.86 | | | | | | | (6071) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 177.93/26.86 | | | | | | | op(e2, e2) = e0)
% 177.93/26.86 | | | | | | |
% 177.93/26.86 | | | | | | | BETA: splitting (6071) gives:
% 177.93/26.86 | | | | | | |
% 177.93/26.86 | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | | (6072) all_56_1 = e0 & op(e3, e2) = e0
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | | REF_CLOSE: (170), (6065), (6072), (function-axioms) are
% 177.93/26.86 | | | | | | | | inconsistent by sub-proof #1466.
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | | (6073) all_56_3 = e0 & op(e2, e2) = e0
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | | ALPHA: (6073) implies:
% 177.93/26.86 | | | | | | | | (6074) all_56_3 = e0
% 177.93/26.86 | | | | | | | | (6075) op(e2, e2) = e0
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | | BETA: splitting (52) gives:
% 177.93/26.86 | | | | | | | |
% 177.93/26.86 | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | |
% 177.93/26.86 | | | | | | | | | (6076) ~ (all_14_2 = e2)
% 177.93/26.86 | | | | | | | | |
% 177.93/26.86 | | | | | | | | | BETA: splitting (55) gives:
% 177.93/26.86 | | | | | | | | |
% 177.93/26.86 | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | (6077) ~ (all_16_2 = e3)
% 177.93/26.86 | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | REDUCE: (338), (6077) imply:
% 177.93/26.86 | | | | | | | | | | (6078) ~ (all_14_2 = e3)
% 177.93/26.86 | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | BETA: splitting (58) gives:
% 177.93/26.86 | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | (6079) ~ (all_18_2 = e1)
% 177.93/26.86 | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | REDUCE: (342), (6079) imply:
% 177.93/26.86 | | | | | | | | | | | (6080) ~ (all_4_2 = e1)
% 177.93/26.86 | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | BETA: splitting (70) gives:
% 177.93/26.86 | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | (6081) ~ (all_26_2 = e0)
% 177.93/26.86 | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | REDUCE: (318), (6081) imply:
% 177.93/26.86 | | | | | | | | | | | | (6082) ~ (all_14_2 = e0)
% 177.93/26.86 | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | BETA: splitting (194) gives:
% 177.93/26.86 | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | (6083) all_54_10 = e3
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | COMBINE_EQS: (349), (6083) imply:
% 177.93/26.86 | | | | | | | | | | | | | (6084) all_14_2 = e3
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | REDUCE: (6078), (6084) imply:
% 177.93/26.86 | | | | | | | | | | | | | (6085) $false
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | CLOSE: (6085) is inconsistent.
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | (6086) ~ (all_54_10 = e3)
% 177.93/26.86 | | | | | | | | | | | | | (6087) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | BETA: splitting (6087) gives:
% 177.93/26.86 | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | (6088) all_54_10 = e2
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | COMBINE_EQS: (349), (6088) imply:
% 177.93/26.86 | | | | | | | | | | | | | | (6089) all_14_2 = e2
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | REDUCE: (6076), (6089) imply:
% 177.93/26.86 | | | | | | | | | | | | | | (6090) $false
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | CLOSE: (6090) is inconsistent.
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | Case 2:
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | (6091) ~ (all_54_10 = e2)
% 177.93/26.86 | | | | | | | | | | | | | | (6092) all_54_10 = e1 | all_54_10 = e0
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | BETA: splitting (6092) gives:
% 177.93/26.86 | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | (6093) all_54_10 = e1
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6093) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6094) all_14_2 = e1
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (363), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6095) ~ (all_52_2 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (376), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6096) ~ (all_52_8 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (377), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6097) ~ (all_52_9 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (379), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6098) ~ (all_52_11 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (381), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6099) ~ (all_52_14 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (6078), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6100) ~ (e3 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (6076), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6101) ~ (e2 = e1)
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | REDUCE: (51), (6094) imply:
% 177.93/26.86 | | | | | | | | | | | | | | | (6102) op(e1, e1) = e1
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 177.93/26.86 | | | | | | | | | | | | | | |
% 177.93/26.86 | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | (6103) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87 | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6103),
% 177.93/26.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | | | | #609.
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | (6104) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.87 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 177.93/26.87 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | BETA: splitting (6104) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6105) all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | ALPHA: (6105) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6106) all_57_30 = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (76),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (79), (103), (110), (112), (113), (117), (118),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (126), (128), (133),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (134), (135), (136), (141), (143), (144), (146),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (160), (162), (163),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (195), (196), (197),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (198), (200), (201), (203), (204), (206), (207),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (246),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (247), (248), (249), (254), (261), (262), (263),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (264), (265), (273), (274), (275), (276), (284),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (285), (287), (294), (296), (343), (344), (351),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (353), (355), (357), (359), (361), (375), (384),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (385), (386), (387), (389), (6061), (6064),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6065), (6066), (6067), (6068), (6069), (6074),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6075), (6080), (6095), (6096), (6097), (6098),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6099), (6102), (6106), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6107) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.87 | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87 | | | | | | | | | | | | | | | | | $i(all_57_30))
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (6107) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6108) all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | ALPHA: (6108) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6109) op(e0, e0) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6109), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6110) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87 | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | ALPHA: (6110) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6111) op(e1, e1) = all_57_30
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6112) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (6112) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6113) all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (6113) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6114) all_56_4 = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (220), (6068), (6102), (6114), (function-axioms)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1467.
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6102), (6111)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6115) all_57_30 = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (76),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (79), (103), (110), (112), (113), (117), (118),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (126), (128), (133),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (141), (143), (144), (146),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (160), (162), (163),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (195), (196), (197),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (203), (204), (206), (207),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (246),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (254), (261), (262), (263),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (264), (265), (273), (274), (275), (276), (284),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (285), (287), (294), (296), (343), (344), (351),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (353), (355), (357), (359), (361), (375), (384),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (385), (386), (387), (389), (6061), (6064),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6065), (6066), (6067), (6068), (6069), (6074),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6075), (6080), (6095), (6096), (6097), (6098),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6099), (6102), (6115), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6116) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (6116) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6117) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6102), (6111)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6118) all_57_30 = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (76),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (79), (103), (110), (112), (113), (117), (118),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (126), (128), (133),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (141), (143), (144), (146),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (160), (162), (163),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (193), (195), (196), (197),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (203), (204), (206), (207),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (222),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (246),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (247), (248), (249), (254), (261), (262), (263),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (264), (265), (273), (274), (275), (276), (284),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (285), (287), (294), (296), (343), (344), (351),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (353), (355), (357), (359), (361), (375), (384),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (385), (386), (387), (389), (6061), (6064),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6065), (6066), (6067), (6068), (6069), (6074),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6075), (6080), (6095), (6096), (6097), (6098),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6099), (6102), (6118), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6119) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (6119) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6120) all_56_14 = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (220), (6068), (6102), (6120), (function-axioms)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #599.
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | (6121) all_54_10 = e0
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6121) imply:
% 177.93/26.87 | | | | | | | | | | | | | | | (6122) all_14_2 = e0
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | REDUCE: (6082), (6122) imply:
% 177.93/26.87 | | | | | | | | | | | | | | | (6123) $false
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | CLOSE: (6123) is inconsistent.
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | (6124) all_26_2 = e0
% 177.93/26.87 | | | | | | | | | | | | (6125) ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 177.93/26.87 | | | | | | | | | | | | $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1)
% 177.93/26.87 | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | COMBINE_EQS: (318), (6124) imply:
% 177.93/26.87 | | | | | | | | | | | | (6126) all_14_2 = e0
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | REDUCE: (363), (6126) imply:
% 177.93/26.87 | | | | | | | | | | | | (6127) ~ (all_52_2 = e0)
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | REDUCE: (376), (6126) imply:
% 177.93/26.87 | | | | | | | | | | | | (6128) ~ (all_52_8 = e0)
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | REDUCE: (6076), (6126) imply:
% 177.93/26.87 | | | | | | | | | | | | (6129) ~ (e2 = e0)
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | REDUCE: (51), (6126) imply:
% 177.93/26.87 | | | | | | | | | | | | (6130) op(e1, e1) = e0
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.87 | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | (6131) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.87 | | | | | | | | | | | | | & op(e2, e3) = e0)
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (6064), (6131),
% 177.93/26.87 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | #929.
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | (6132) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.87 | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | BETA: splitting (6132) gives:
% 177.93/26.87 | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | (6133) all_56_6 = e0 & op(e1, e3) = e0
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | REF_CLOSE: (163), (6127), (6133), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | inconsistent by sub-proof #1197.
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | (6134) all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | ALPHA: (6134) implies:
% 177.93/26.87 | | | | | | | | | | | | | | (6135) all_56_12 = e0
% 177.93/26.87 | | | | | | | | | | | | | | (6136) op(e0, e3) = e0
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.87 | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | (6137) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.87 | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6137),
% 177.93/26.87 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | | | #1060.
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | (6138) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.87 | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | BETA: splitting (6138) gives:
% 177.93/26.87 | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | (6139) all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | ALPHA: (6139) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | (6140) op(e3, e1) = e0
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6141) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87 | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6141),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | | | | | #609.
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6142) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.87 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.93/26.87 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (6142) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6143) all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | ALPHA: (6143) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6144) op(e1, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6144), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6145) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.93/26.87 | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (169), (387), (6128), (6140), (6145),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | | | | | | #443.
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | End of split
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | (6146) all_56_9 = e0 & op(e3, e0) = e0
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | ALPHA: (6146) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | (6147) all_56_9 = e0
% 177.93/26.87 | | | | | | | | | | | | | | | | (6148) op(e3, e0) = e0
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6149) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87 | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6149),
% 177.93/26.87 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | | | | | #609.
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | (6150) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.87 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 177.93/26.87 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (6150) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6151) all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | ALPHA: (6151) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6152) op(e1, e1) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6152), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (6153) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.87 | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | BETA: splitting (6153) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6154) all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | ALPHA: (6154) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6155) op(e0, e0) = e1
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6155), (function-axioms) are
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6156) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | ALPHA: (6156) implies:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6157) ~ (all_57_30 = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | (6158) op(e1, e1) = all_57_30
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (6159) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6159),
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | | #609.
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | (6160) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6160) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | (6161) all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6161) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | (6162) op(e1, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6162), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | (6163) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6163) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | (6164) all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6164) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | (6165) op(e0, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6165), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | (6166) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6166) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | (6167) op(e0, e1) = all_57_27
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | (6168) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6168),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | #609.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | (6169) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6169) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6170) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (6171) op(e1, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6171), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (6172) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6172) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6173) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (6174) op(e0, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6174), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (6175) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6175) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (6176) op(e3, e1) = all_57_17
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6177),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | #609.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6178) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6179) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) op(e1, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6180), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6181) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6182) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) op(e0, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6183), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6184) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) ~ (all_57_20 = e2)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) op(e2, e1) = all_57_20
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (6167)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_57_27 = all_52_11
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6136) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_52_3 = e0
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6130), (6158)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_57_30 = e0
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (6186)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_57_20 = all_52_9
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (6148) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_52_12 = e0
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (6176)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) all_57_17 = all_52_8
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6185), (6190) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) ~ (all_52_9 = e2)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6189) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) ~ (e1 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6188) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) ~ (all_52_7 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6188) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) ~ (all_52_11 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6196) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) ~ (all_52_11 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (6191) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) ~ (all_6_2 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6198) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) ~ (all_6_2 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (6191) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) ~ (all_4_2 = e0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_54_15 = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6201) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_6_2 = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6202) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) all_6_2 = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (6203) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) ~ (all_52_7 = e3)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (6203) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) ~ (all_52_11 = e3)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6203) imply:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) op(e0, e0) = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6207) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) ~ (all_12_0 = e3)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) op(e0, e0) = all_12_0
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6206), (6208), (6209), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6210) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) ~ (all_12_1 = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) op(e0, e2) = all_12_1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6125) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6213) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) ~ (all_26_0 = e3)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) op(e0, e0) = all_26_0
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6206), (6214), (6215), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1191.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6216) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) op(e0, e1) = all_26_1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6218) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6219) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) all_56_4 = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) op(e3, e1) = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6222) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6223) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) all_56_4 = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6220), (6224) are inconsistent by sub-proof
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1285.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6225) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) op(e2, e1) = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (6068), (6193), (6226),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1145.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6227) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6228) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) op(e1, e1) = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6130), (6229), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6230) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_56_14 = e2
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6232) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6233) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_56_12 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (206), (6067), (6206),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231), (6234), (function-axioms) are inconsistent
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1274.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6235) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_56_13 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_56_0 = e1 & op(e3, e3) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6238) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) op(e3, e3) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6080), (6239), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6240) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_56_1 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (6075),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236), (6241), (function-axioms) are inconsistent
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #441.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6243) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) all_56_4 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6220), (6244) are inconsistent by sub-proof
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1567.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6245) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_56_9 = e1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (169), (170), (230), (386),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065), (6221), (6246), (function-axioms) are
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #454.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (6231), (6247),
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #992.
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6248) implies:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) op(e2, e1) = e3
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e1, e0, simplifying with (157), (6217)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_52_11 = all_26_1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_1, e2, e0, simplifying with (158), (6212)
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) all_52_7 = all_12_1
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 177.93/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (6249) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_52_9 = e3
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (6250) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) all_54_14 = all_26_1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (6251) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_54_13 = all_12_1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6187), (6250) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_57_27 = all_26_1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6251) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) ~ (all_52_4 = all_12_1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6251) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) ~ (all_52_6 = all_12_1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6250), (6251) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) ~ (all_26_1 = all_12_1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6258) implies:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) ~ (all_26_1 = all_12_1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6204), (6251) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) ~ (all_12_1 = e3)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6067), (6251) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) ~ (all_12_1 = e0)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6252) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) ~ (all_52_8 = e3)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6205), (6250) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) ~ (all_26_1 = e3)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6197), (6250) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) ~ (all_26_1 = e0)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6265) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6266) implies:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) op(e0, e3) = e1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6136), (6267), (function-axioms) are
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6268) implies:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_56_13 = e1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_54_13 = e3
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6254), (6260), (6270) are inconsistent by
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) ~ (all_54_13 = e3)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6272) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) all_54_13 = e2
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6254), (6273) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) all_12_1 = e2
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6274) implies:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) all_12_1 = e2
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6256), (6275) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) ~ (all_52_4 = e2)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6257), (6275) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) ~ (all_52_6 = e2)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6259), (6275) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) ~ (all_26_1 = e2)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6260), (6275) imply:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) ~ (e3 = e2)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (39), (135), (158), (170), (191), (249),
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (6075), (6130), (6148), (6192), (6211),
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212), (6254), (6260), (6261), (6262), (6280),
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #438.
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6281) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6075), (6249), (6282), (function-axioms) are
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #513.
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6283) gives:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6284) implies:
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) all_57_17 = e1
% 177.93/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6192), (6285) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) all_52_8 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6286) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) ~ (all_52_4 = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6286) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) ~ (all_4_2 = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_54_1 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (6289) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) all_52_4 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6290) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_52_4 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (6291) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) ~ (all_4_2 = e3)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6292) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) ~ (all_4_2 = e3)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (36), (204), (232),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (294), (386), (6080), (6147), (6249),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293), (6294), (function-axioms) are inconsistent
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #435.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6295) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6296) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) op(e1, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6130), (6297), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6298) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_56_14 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6300) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) all_56_0 = e3 & op(e3, e3) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (6080), (6293), (6301),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6302) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_56_1 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6304) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_56_6 = e3 & op(e1, e3) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6305) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_56_6 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6307) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) all_56_0 = e1 & op(e3, e3) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6308) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) op(e3, e3) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6080), (6309), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6310) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_56_2 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6312) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6313) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_56_2 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6311), (6314) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) e2 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (294), (386), (6080), (6130),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147), (6249), (6293), (6299), (6315),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #433.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6316) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) op(e2, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6317), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6319) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) op(e2, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6249), (6320), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6321) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_56_10 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6323) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6324) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) op(e3, e3) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6326) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6327) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_56_6 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (6135),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136), (6325), (6328), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6329) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) op(e1, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6277), (6330), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6331) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6332) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) op(e1, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6130), (6333), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_56_11 = e2 & op(e1, e0) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6334) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_56_11 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6336) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6337) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) all_56_9 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6147), (6338) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1484.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6339) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) all_56_10 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6322), (6340) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) e2 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6335), (6341) imply:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_56_11 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (6130), (6277),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306), (6342), (function-axioms) are inconsistent
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1228.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (162), (215), (387), (6130),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277), (6306), (6343), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1034.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) op(e3, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (191), (6211), (6212),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254), (6260), (6261), (6345), (function-axioms)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #533.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6346) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6347) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) all_56_4 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (232), (6080), (6147),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303), (6348), (function-axioms) are inconsistent
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1125.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6147), (6349) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (158), (206), (6067), (6206),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299), (6306), (6350), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6351) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_56_7 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (6075), (6269), (6303),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352), (function-axioms) are inconsistent by
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #546.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6353) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6354) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) op(e1, e1) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6130), (6355), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6356) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_56_11 = e3
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6358) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6359) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) all_56_9 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6147), (6360) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1484.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6361) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) all_56_10 = e1
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6363) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6364) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_56_2 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (135), (158),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (170), (191), (223), (224), (229), (231),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (6075), (6211), (6212), (6254),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260), (6261), (6362), (6365), (6366),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #431.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6367) gives:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6368) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) all_56_4 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (232), (6080), (6147),
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303), (6369), (function-axioms) are inconsistent
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1125.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6370) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) all_56_9 = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6147), (6371) are inconsistent by sub-proof
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6372) implies:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) op(e2, e2) = e2
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6373), (function-axioms) are
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6374) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147), (6249), (6293), (6299), (6362), (6374),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6375) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (6357), (6375),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6376) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6376) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6377) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) all_56_4 = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6379) op(e3, e1) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6380) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) all_56_6 = e3 & op(e1, e3) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6381) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6382) all_56_6 = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6383) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6383) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6384) all_56_0 = e1 & op(e3, e3) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6384) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385) op(e3, e3) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6080), (6385), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6386) all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6386) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387) all_56_2 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6388) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6388) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6389) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390) all_56_2 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6387), (6390) imply:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6391) e2 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6299), (6391) imply:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392) all_56_14 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147), (6249), (6293), (6392), (function-axioms)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #434.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6393) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6394) op(e2, e2) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6394), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6395) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6395) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6396) all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6396) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6397) op(e2, e1) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6249), (6397), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6398) all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6398) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6399) all_56_10 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6400) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6400) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6401) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6401) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6402) op(e3, e3) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6403) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404) all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6404) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6405) all_56_4 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6378), (6405) imply:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406) e3 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (231),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (6080), (6382), (6387), (6402),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406), (function-axioms) are inconsistent by
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1518.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6407) all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6407) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408) op(e2, e1) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6387), (6399),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408), (function-axioms) are inconsistent by
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6409) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6410) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) op(e1, e1) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (210), (213), (215), (216), (230),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (6065), (6066), (6379), (6399),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411), (function-axioms) are inconsistent by
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6412) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) all_56_14 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147), (6249), (6293), (6413), (function-axioms)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #434.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6414) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) op(e3, e2) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (191), (6211), (6212),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254), (6260), (6261), (6415), (function-axioms)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #533.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (230), (232), (236), (294), (386), (6065),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6080), (6147), (6293), (6379), (6416),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #427.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (158), (206), (6067), (6206),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299), (6382), (6417), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #432.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6418) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) all_56_7 = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (135), (158), (170), (191), (227),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6211), (6212), (6254), (6260), (6261),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269), (6419), (function-axioms) are inconsistent
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #526.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6420) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6421) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6422) op(e1, e1) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (6068), (6378), (6422), (function-axioms)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #425.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6423) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6423) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6424) all_56_11 = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6425) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6425) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6426) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6426) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427) all_56_9 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (169), (170), (230), (386),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065), (6379), (6427), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #454.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6428) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6428) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429) all_56_10 = e1
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6430) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6430) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6431) all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6431) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6432) all_56_2 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (135), (158),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (170), (191), (223), (224), (229), (231),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (386), (6075), (6211), (6212), (6254),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260), (6261), (6429), (6432), (6433),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #431.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6434) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (230), (232), (236), (294), (386), (6065),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6080), (6147), (6293), (6379), (6434),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #427.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6435) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) op(e2, e2) = e2
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6436), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147), (6249), (6293), (6299), (6429), (6437),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6438) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (6424), (6438),
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6439) implies:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) op(e3, e0) = e3
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6148), (6440), (function-axioms) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1189.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6065), (6276), (6287), (6441) are
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (190), (6189), (6217), (6249), (6253),
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255), (6263), (6264), (6278), (6442),
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1174.
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) all_54_13 = e1 | all_54_13 = e0
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6211), (6254), (6261), (6443) are inconsistent by
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #535.
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6444) gives:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6445) implies:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_56_14 = e1
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_54_13 = e3
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6254), (6260), (6447) are inconsistent by
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) ~ (all_54_13 = e3)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6449) gives:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) all_54_13 = e2
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6254), (6450) imply:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) all_12_1 = e2
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6451) implies:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) all_12_1 = e2
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6256), (6452) imply:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) ~ (all_52_4 = e2)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6259), (6452) imply:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) ~ (all_26_1 = e2)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6260), (6452) imply:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) ~ (e3 = e2)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (39), (135), (158), (170), (191), (249),
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (6075), (6130), (6148), (6192), (6211),
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212), (6254), (6260), (6261), (6262), (6456),
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #438.
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6457) gives:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6075), (6249), (6458), (function-axioms) are
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #513.
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6459) gives:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6460) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) all_57_17 = e1
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6192), (6461) imply:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) all_52_8 = e1
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6462) imply:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) ~ (all_52_4 = e1)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6462) imply:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) ~ (all_4_2 = e1)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_54_1 = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (6465) imply:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) all_52_4 = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6466) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) all_52_4 = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (6467) imply:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) ~ (all_4_2 = e3)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6468) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) ~ (all_4_2 = e3)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (294), (386), (6080), (6130),
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147), (6249), (6446), (6469), (function-axioms)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #434.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6065), (6453), (6463), (6470) are
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1057.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6471) gives:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6472) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) op(e2, e1) = e1
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6249), (6473), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6474) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (6189), (6217), (6253), (6255), (6263),
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264), (6454), (6475), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1175.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) all_54_13 = e1 | all_54_13 = e0
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6211), (6254), (6261), (6476) are inconsistent by
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #535.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6477) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) op(e0, e0) = e1
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6478), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6479) gives:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6480) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) op(e1, e1) = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6130), (6481), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) all_56_14 = e3 & op(e0, e1) = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6482) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_56_14 = e3
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (207), (208),
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (6135), (6136), (6483),
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1506.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (389), (6199), (6484) are
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #424.
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | End of split
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | (6485) all_18_2 = e1
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | COMBINE_EQS: (342), (6485) imply:
% 177.93/26.93 | | | | | | | | | | | (6486) all_4_2 = e1
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | COMBINE_EQS: (346), (6486) imply:
% 177.93/26.93 | | | | | | | | | | | (6487) all_40_2 = e1
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | REDUCE: (351), (6486) imply:
% 177.93/26.93 | | | | | | | | | | | (6488) ~ (all_52_1 = e1)
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | REDUCE: (357), (6486) imply:
% 177.93/26.93 | | | | | | | | | | | (6489) ~ (all_52_4 = e1)
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | REDUCE: (359), (6486) imply:
% 177.93/26.93 | | | | | | | | | | | (6490) ~ (all_52_8 = e1)
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | REDUCE: (36), (6486) imply:
% 177.93/26.93 | | | | | | | | | | | (6491) op(e3, e3) = e1
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | BETA: splitting (249) gives:
% 177.93/26.93 | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | (6492) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.93 | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6492),
% 177.93/26.93 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.93 | | | | | | | | | | | | #423.
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | (6493) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.93 | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 177.93/26.93 | | | | | | | | | | | | op(e3, e2) = all_57_16 & $i(all_57_16))
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | BETA: splitting (6493) gives:
% 177.93/26.93 | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | (6494) all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | ALPHA: (6494) implies:
% 177.93/26.93 | | | | | | | | | | | | | (6495) op(e1, e1) = e2
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6495), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | (6496) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.93 | | | | | | | | | | | | | (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.93/26.93 | | | | | | | | | | | | | $i(all_57_16))
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | BETA: splitting (6496) gives:
% 177.93/26.93 | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | (6497) all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | ALPHA: (6497) implies:
% 177.93/26.93 | | | | | | | | | | | | | | (6498) op(e0, e0) = e2
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6498), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | (6499) ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.93/26.93 | | | | | | | | | | | | | | $i(all_57_16)
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | ALPHA: (6499) implies:
% 177.93/26.93 | | | | | | | | | | | | | | (6500) ~ (all_57_16 = e3)
% 177.93/26.93 | | | | | | | | | | | | | | (6501) op(e3, e2) = all_57_16
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 177.93/26.93 | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | (6502) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.93 | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6502),
% 177.93/26.93 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.93 | | | | | | | | | | | | | | | #423.
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | (6503) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.93 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 177.93/26.93 | | | | | | | | | | | | | | | op(e0, e2) = all_57_26 & $i(all_57_26))
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | BETA: splitting (6503) gives:
% 177.93/26.93 | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93 | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | (6504) all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.93 | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | ALPHA: (6504) implies:
% 177.93/26.93 | | | | | | | | | | | | | | | | (6505) op(e1, e1) = e2
% 177.93/26.93 | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6505), (function-axioms) are
% 177.93/26.93 | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 177.93/26.93 | | | | | | | | | | | | | | | |
% 177.93/26.93 | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93 | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | (6506) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.94 | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.93/26.94 | | | | | | | | | | | | | | | | $i(all_57_26))
% 177.93/26.94 | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | BETA: splitting (6506) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | (6507) all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | ALPHA: (6507) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | (6508) op(e0, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6508), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | (6509) ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.93/26.94 | | | | | | | | | | | | | | | | | $i(all_57_26)
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | ALPHA: (6509) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | (6510) ~ (all_57_26 = e0)
% 177.93/26.94 | | | | | | | | | | | | | | | | | (6511) op(e0, e2) = all_57_26
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | (6512) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6512),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.94 | | | | | | | | | | | | | | | | | | #423.
% 177.93/26.94 | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | (6513) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 177.93/26.94 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 177.93/26.94 | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | BETA: splitting (6513) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | (6514) all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | ALPHA: (6514) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | (6515) op(e1, e1) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6515), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | (6516) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (6516) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | (6517) all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | ALPHA: (6517) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | (6518) op(e0, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6518), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | (6519) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | ALPHA: (6519) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | (6520) op(e2, e2) = all_57_29
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | (6521) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6521),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | #423.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | (6522) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6522) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | (6523) all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6523) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | (6524) op(e1, e1) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6524), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | (6525) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6525) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6526) all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6526) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6527) op(e0, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6527), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6528) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6529) ~ (all_57_23 = e1)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6530) op(e1, e2) = all_57_23
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e2, e0, simplifying with (158), (6511)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6531) all_57_26 = all_52_7
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (162), (6530)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6532) all_57_23 = all_52_6
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e2, e2, simplifying with (6075), (6520)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6533) all_57_29 = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (170), (6501)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6534) all_57_16 = all_52_4
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6534) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6535) ~ (all_52_4 = e3)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6529), (6532) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | (6536) ~ (all_52_6 = e1)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | (6537) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6537) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6538) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6539) op(e3, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (6501), (6539)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_57_16 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6534), (6540) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6541) all_52_4 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6541) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6542) all_52_4 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6489), (6542) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6543) $false
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6543) is inconsistent.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6544) all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6544) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6545) op(e2, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6075), (6545), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | (6546) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6546) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6547) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6548) all_56_7 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6549) op(e1, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (39), (51), (91), (128), (135), (136),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (163), (165), (167), (169),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (170), (191), (195), (203), (206), (207), (208),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (213), (214), (215), (216),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (222), (223), (224),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (232), (233), (234),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (263), (273), (287), (386), (387),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (389), (6061), (6064), (6065), (6066), (6067),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6068), (6074), (6075), (6076), (6487), (6488),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6489), (6491), (6535), (6536), (6548), (6549),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6550) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_56_13 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | (6552) op(e0, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) all_54_1 = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6535), (6553) are inconsistent by
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1344.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) ~ (all_54_1 = e3)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_54_1 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (6556) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_52_4 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6557) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) all_52_4 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6534), (6558) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_57_16 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6558) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) ~ (all_52_6 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6560) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) ~ (all_52_6 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6558) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) ~ (all_52_8 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6562) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) ~ (all_52_8 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6558) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) ~ (all_52_12 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6564) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) ~ (all_52_12 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6535), (6558) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) ~ (e3 = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6558) imply:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) op(e3, e2) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6568) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6569) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) op(e3, e3) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6491), (6570), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6571) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) all_56_1 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6573) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_56_6 = e3 & op(e1, e3) = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6574) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) all_56_6 = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) op(e1, e3) = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (135), (158), (162), (170), (227),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6561), (6567), (6577), (function-axioms)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #420.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6579) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_56_7 = e3
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (6064), (6581),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #929.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6582) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_56_6 = e0 & op(e1, e3) = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6583) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) op(e1, e3) = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6576), (6584), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1536.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6585) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) all_56_12 = e0
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (6561), (6575), (6587),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1231.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6588) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6589) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) op(e1, e1) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6590), (function-axioms) are
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) all_56_11 = e2 & op(e1, e0) = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6591) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) all_56_11 = e2
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6593) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) all_56_6 = e1 & op(e1, e3) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6594) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) all_56_6 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (6491),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586), (6595), (function-axioms) are inconsistent
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #645.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6596) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) all_56_7 = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (162), (167), (170), (207), (208), (227),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (233), (235), (386), (387), (389),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064), (6075), (6491), (6561), (6567), (6575),
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576), (6597), (function-axioms) are inconsistent
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #419.
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6598) gives:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6599) implies:
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) op(e1, e1) = e1
% 177.93/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (6066), (6576),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592), (6600), (function-axioms) are inconsistent
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1109.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (6075), (6551), (6572),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580), (6592), (6601), (function-axioms) are
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #361.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6602) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) all_56_13 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6551), (6603) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6604) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) all_56_7 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6606) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) ~ (all_12_0 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) op(e0, e0) = all_12_0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e0, e0, simplifying with (39), (6608)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) all_12_0 = all_6_2
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6607), (6609) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) ~ (all_6_2 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) all_54_15 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6610), (6611) are inconsistent by
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) ~ (all_54_15 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (6491), (6614),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #360.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_25))
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6615) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) all_57_30 = e3 & op(e1, e1) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6616) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) op(e1, e1) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6613) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) all_54_15 = e2
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (6618) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) ~ (all_54_15 = e2)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) all_54_15 = e1 | all_54_15 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_54_3 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (6621) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) all_52_12 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6622) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) all_52_12 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6623) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) ~ (all_52_8 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (202), (286), (349), (376), (6076),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078), (6490), (6563), (6617), (6624),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) ~ (all_54_3 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (6625) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) ~ (all_52_12 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (128), (135), (136), (158), (159), (162),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (191),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (203), (206), (207), (208), (209), (210),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (227),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (261), (263), (273), (287), (386), (387),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (6061), (6064), (6065), (6066), (6067),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068), (6074), (6075), (6076), (6487), (6488),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489), (6491), (6535), (6536), (6551), (6561),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567), (6572), (6605), (6610), (6620), (6626),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #356.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6627) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) all_57_31 = e3 & op(e0, e0) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6628) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) op(e0, e0) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6607), (6608), (6629), (function-axioms) are
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #545.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6630) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) ~ (all_57_25 = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6613) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) all_54_15 = e2
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (6632) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) ~ (all_54_15 = e2)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) all_54_15 = e1 | all_54_15 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6634) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) all_54_15 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (6635) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) all_54_15 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6636) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) all_6_2 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6637) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) all_6_2 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (6638) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) ~ (all_52_14 = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (6638) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) ~ (e2 = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (6638) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) ~ (e1 = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) all_54_3 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (6642) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) all_52_12 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6643) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) all_52_12 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6644) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) ~ (all_52_8 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (6644) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) op(e3, e0) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) all_54_2 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (6645), (6647) are inconsistent by
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) ~ (all_54_2 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6649) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_54_2 = e2
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (6563), (6650) are inconsistent by
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1480.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) ~ (all_54_2 = e2)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_54_2 = e1 | all_54_2 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6652) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_54_2 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (6490), (6653) are inconsistent by
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) all_54_2 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (6654) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) all_52_8 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6655) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) all_52_8 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6656) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) ~ (all_14_2 = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6657) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) ~ (all_14_2 = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6659),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6660) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6661) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) all_56_4 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) op(e3, e1) = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) all_54_10 = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (6078), (6664) are inconsistent by
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1621.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) ~ (all_54_10 = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6666) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_54_10 = e2
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (6076), (6667) are inconsistent by
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1620.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) ~ (all_54_10 = e2)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_54_10 = e1 | all_54_10 = e0
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6669) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) all_54_10 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6670) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_14_2 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6671) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_14_2 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6078), (6672) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) ~ (e3 = e1)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6076), (6672) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) ~ (e2 = e1)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6672) imply:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) op(e1, e1) = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (6491), (6676),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #360.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & $i(all_57_19))
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6677) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) all_57_30 = e3 & op(e1, e1) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6678) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) op(e1, e1) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6675), (6679), (function-axioms) are
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6680) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_57_31 = e3 & op(e0, e0) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6681) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) op(e0, e0) = e3
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (6610), (6634), (6682),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6683) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) ~ (all_57_19 = e2)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6685) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_56_9 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491), (6662), (6663), (6687), (function-axioms)
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1375.
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6688) implies:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) all_56_10 = e1
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6690) gives:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6691) gives:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6692) implies:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_57_16 = e3
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) ~ (all_57_28 = e2)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6694), (6695), (function-axioms) are
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #440.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6493) gives:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6696) implies:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) op(e1, e1) = e2
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6675), (6697), (function-axioms) are
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6496), (6693), (function-axioms) are
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #439.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) op(e3, e1) = e3
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (6663), (6699), (function-axioms) are
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6700) gives:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6701) implies:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) ~ (all_57_1 = e2)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) op(e3, all_57_16) = all_57_1
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6501), (6559), (6702), (6703), (function-axioms)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #355.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6704) implies:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) all_57_19 = e2
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6684), (6705) imply:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) $false
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6706) is inconsistent.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6707) gives:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (162), (170), (6561), (6567),
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708), (function-axioms) are inconsistent by
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #354.
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6709) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6710) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) op(e3, e1) = e1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6663), (6711), (function-axioms) are
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6712) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6713) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) op(e2, e1) = e1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (6074),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6689), (6714), (function-axioms) are
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #786.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (349), (381), (6069), (6631),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639), (6658), (6669), (6715), (function-axioms)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1278.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (213),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (387), (6066), (6675), (6716),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #543.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) all_54_10 = e0
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (6658), (6717) are inconsistent by
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1618.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) all_56_9 = e0 & op(e3, e0) = e0
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6718) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) op(e3, e0) = e0
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6646), (6719), (function-axioms) are
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1189.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) ~ (all_54_3 = e3)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (6720) imply:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) ~ (all_52_12 = e3)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (128), (135), (136), (158), (159), (162),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (168), (169), (170), (191),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (203), (206), (207), (208), (209), (210),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (215), (216), (217),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (227),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (261), (263), (273), (287), (386), (387),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (6061), (6064), (6065), (6066), (6067),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068), (6074), (6075), (6076), (6487), (6488),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489), (6491), (6535), (6536), (6551), (6561),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567), (6572), (6605), (6610), (6634), (6721),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #356.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6722) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) ~ (all_12_1 = e1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) op(e0, e2) = all_12_1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_12_1,
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (6552), (6724) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_12_1 = e1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6725) imply:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) $false
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6726) is inconsistent.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6727) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6728) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) all_56_8 = e3
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) op(e1, e1) = e3
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (135), (158), (162), (170), (227),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6561), (6567), (6731), (function-axioms)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #420.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6732) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6733) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_56_7 = e3
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (128), (135), (136), (158), (159), (162),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (167), (169), (170), (191), (195),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (227), (228), (229),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (235), (236), (263),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273), (287), (386), (387), (389), (6061), (6064),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065), (6066), (6067), (6068), (6074), (6075),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6076), (6487), (6488), (6489), (6491), (6535),
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536), (6735), (function-axioms) are inconsistent
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #357.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6736) gives:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) op(e1, e1) = e1
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6730), (6738), (function-axioms) are
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6739) implies:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) all_56_11 = e1
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066), (6729), (6730), (6734), (6740),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #353.
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6741) implies:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) all_56_13 = e3
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6551), (6742) are inconsistent by sub-proof
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6743) implies:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_56_11 = e3
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (158), (162), (167), (169), (170), (207),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (210), (211), (213), (215), (218), (220),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (229), (230), (234), (236),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (387), (389), (6064), (6065), (6066),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6075), (6076), (6488), (6491), (6561),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567), (6744), (function-axioms) are inconsistent
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #365.
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6745) gives:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6746) implies:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_56_4 = e2
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (135), (158), (162),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (227), (230), (236), (386), (6065), (6075),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491), (6561), (6567), (6747), (function-axioms)
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #359.
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6748) implies:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) all_56_9 = e2
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6750),
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6751) gives:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6752) implies:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) op(e3, e1) = e0
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (135), (158), (162), (170), (227),
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6491), (6561), (6567), (6754),
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #367.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (6749), (6753), (6755),
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1575.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_56_9 = e0 & op(e3, e0) = e0
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6756) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) all_56_9 = e0
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6749), (6757) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_54_1 = e1 | all_54_1 = e0
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6065), (6489), (6758) are inconsistent by
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1058.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | End of split
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | (6759) all_16_2 = e3
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | COMBINE_EQS: (338), (6759) imply:
% 178.47/26.98 | | | | | | | | | | (6760) all_14_2 = e3
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | SIMP: (6760) implies:
% 178.47/26.98 | | | | | | | | | | (6761) all_14_2 = e3
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | COMBINE_EQS: (337), (6761) imply:
% 178.47/26.98 | | | | | | | | | | (6762) all_24_2 = e3
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | REDUCE: (374), (6761) imply:
% 178.47/26.98 | | | | | | | | | | (6763) ~ (all_52_6 = e3)
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | REDUCE: (377), (6761) imply:
% 178.47/26.98 | | | | | | | | | | (6764) ~ (all_52_9 = e3)
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | REDUCE: (379), (6761) imply:
% 178.47/26.98 | | | | | | | | | | (6765) ~ (all_52_11 = e3)
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | REDUCE: (51), (6761) imply:
% 178.47/26.98 | | | | | | | | | | (6766) op(e1, e1) = e3
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | BETA: splitting (220) gives:
% 178.47/26.98 | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | (6767) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.47/26.98 | | | | | | | | | | | & op(e2, e1) = e3)
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/26.98 | | | | | | | | | | | (219), (6068), (6764), (6766), (6767),
% 178.47/26.98 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | #352.
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | (6768) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.47/26.98 | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | BETA: splitting (6768) gives:
% 178.47/26.98 | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | (6769) all_56_8 = e3 & op(e1, e1) = e3
% 178.47/26.98 | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | ALPHA: (6769) implies:
% 178.47/26.98 | | | | | | | | | | | | (6770) all_56_8 = e3
% 178.47/26.98 | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | BETA: splitting (58) gives:
% 178.47/26.98 | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | (6771) ~ (all_18_2 = e1)
% 178.47/26.98 | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | REDUCE: (342), (6771) imply:
% 178.47/26.98 | | | | | | | | | | | | | (6772) ~ (all_4_2 = e1)
% 178.47/26.98 | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.47/26.98 | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | (6773) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98 | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6773),
% 178.47/26.98 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | #609.
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | (6774) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 178.47/26.98 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | BETA: splitting (6774) gives:
% 178.47/26.98 | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | (6775) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | ALPHA: (6775) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | (6776) op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6776), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | (6777) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98 | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/26.98 | | | | | | | | | | | | | | | $i(all_57_30))
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | BETA: splitting (6777) gives:
% 178.47/26.98 | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | (6778) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | ALPHA: (6778) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | (6779) op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6779), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | (6780) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/26.98 | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | ALPHA: (6780) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | (6781) ~ (all_57_30 = e1)
% 178.47/26.98 | | | | | | | | | | | | | | | | (6782) op(e1, e1) = all_57_30
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | (6783) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98 | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6783),
% 178.47/26.98 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | | | | #609.
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | (6784) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 178.47/26.98 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | BETA: splitting (6784) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | (6785) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | (6786) op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6786), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | (6787) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98 | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | BETA: splitting (6787) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | (6788) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | ALPHA: (6788) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | (6789) op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6789), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | (6790) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | ALPHA: (6790) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | (6791) ~ (all_57_17 = e3)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | (6792) op(e3, e1) = all_57_17
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | (6793) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6793),
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | #609.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | (6794) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6794) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | (6795) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6795) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | (6796) op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6796), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | (6797) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6797) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | (6798) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6798) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | (6799) op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6799), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | (6800) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6800) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | (6801) ~ (all_57_27 = e0)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | (6802) op(e0, e1) = all_57_27
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | (6803) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6803),
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | #609.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | (6804) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6804) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (6805) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6805) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (6806) op(e1, e1) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6806), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (6807) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6807) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6808) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6808) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6809) op(e0, e0) = e1
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6809), (function-axioms) are
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6810) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6810) implies:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6811) ~ (all_57_20 = e2)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6812) op(e2, e1) = all_57_20
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (6802)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_57_27 = all_52_11
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6766), (6782)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6814) all_57_30 = e3
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (6812)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6815) all_57_20 = all_52_9
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (6792)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6816) all_57_17 = all_52_8
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6791), (6816) imply:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6817) ~ (all_52_8 = e3)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6811), (6815) imply:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6818) ~ (all_52_9 = e2)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6801), (6813) imply:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | (6819) ~ (all_52_11 = e0)
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6820) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) all_56_4 = e0 & op(e3, e1) = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6821) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) all_56_4 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (121), (123), (135), (158), (159), (162),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (190), (198), (202),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (209), (211), (213), (214),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (223), (224), (227),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (248),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (254), (262), (276), (286), (294), (359),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (387), (6066), (6067), (6068), (6069),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6075), (6762), (6764), (6765), (6766),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770), (6772), (6813), (6815), (6816), (6817),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818), (6819), (6822), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #334.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) all_56_5 = e0 & op(e2, e1) = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6068), (6823), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6824) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) all_56_8 = e0 & op(e1, e1) = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6770), (6825) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #416.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) all_56_14 = e0 & op(e0, e1) = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6826) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) all_56_14 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) all_54_6 = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (6828) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) all_52_9 = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6764), (6829) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) $false
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6830) is inconsistent.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6831) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) all_54_6 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (6832) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) all_52_9 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6818), (6833) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) $false
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6834) is inconsistent.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) ~ (all_54_6 = e2)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) all_54_6 = e1 | all_54_6 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6837) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) all_56_4 = e2 & op(e3, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6838) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) all_56_4 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6840) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) all_56_4 = e1 & op(e3, e1) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6839), (6841) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) all_56_5 = e1 & op(e2, e1) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6842) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_56_5 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) op(e2, e1) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6845),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6846) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) all_56_4 = e0 & op(e3, e1) = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6847) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) all_56_4 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (121), (123), (135), (158), (159), (162),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (190), (202), (204),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (211), (213), (214), (215),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (223), (224), (227), (228),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (232), (233), (234), (248), (249),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254), (262), (276), (286), (294), (359), (382),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (6066), (6067), (6068), (6069), (6074),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6762), (6765), (6766), (6770), (6772),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813), (6815), (6816), (6817), (6818), (6819),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831), (6848), (function-axioms) are inconsistent
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #335.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_56_9 = e0 & op(e3, e0) = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6849) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_56_9 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6851) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) all_56_0 = e1 & op(e3, e3) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6852) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) op(e3, e3) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6772), (6853), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) all_56_1 = e1 & op(e3, e2) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6854) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_56_1 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6856) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_56_9 = e1 & op(e3, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6850), (6857) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) all_56_10 = e1 & op(e2, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6858) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) all_56_10 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (6074),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075), (6844), (6859), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #786.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6860) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) all_56_11 = e1 & op(e1, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6861) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_56_11 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (6855), (6863),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #442.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6864) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_56_7 = e3 & op(e1, e2) = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6865) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) all_56_7 = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066), (6766), (6770), (6862), (6866),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #353.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) all_56_13 = e3 & op(e0, e2) = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6867) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_56_13 = e3
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6869) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) all_56_12 = e1 & op(e0, e3) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6870) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) all_56_12 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) op(e0, e3) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6873) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) all_56_12 = e2 & op(e0, e3) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6874) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6875) all_56_12 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6871), (6875) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6876) e2 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6839), (6876) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877) all_56_4 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (219), (220), (389), (6067),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827), (6843), (6844), (6871), (6872), (6877),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #368.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) all_56_13 = e2 & op(e0, e2) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6878) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) all_56_13 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6868), (6879) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1121.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6880) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) all_56_14 = e2 & op(e0, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6881) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) all_56_14 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6827), (6882) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) e2 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6883) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) e2 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6839), (6884) imply:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885) all_56_4 = e0
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (39), (67), (118), (121), (123), (135),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (164), (165), (169), (170),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (202), (204), (206), (207), (209), (211),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (217), (223), (224), (227),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (248),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (254), (262), (276), (286), (294), (359),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (387), (6066), (6067), (6068), (6069),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6075), (6762), (6765), (6766), (6770),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772), (6813), (6815), (6816), (6817), (6819),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836), (6843), (6882), (6885), (function-axioms)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #336.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886) all_56_15 = e2 & op(e0, e0) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6886) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887) op(e0, e0) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6887), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6888) all_56_13 = e1 & op(e0, e2) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6888) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6889) all_56_13 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6868), (6889) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6890) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6890) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) all_56_14 = e1 & op(e0, e1) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6827), (6891) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #674.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) all_56_15 = e1 & op(e0, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6892) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) op(e0, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6893), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) all_56_15 = e1 & op(e0, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6894) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) op(e0, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6895), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6896) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) all_56_4 = e1 & op(e3, e1) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6897) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) all_56_4 = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6839), (6898) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #877.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) all_56_9 = e1 & op(e3, e0) = e1
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6850), (6899) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6766), (6827), (6900),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #426.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) all_56_5 = e2 & op(e2, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6901) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) op(e2, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (6068), (6818), (6836), (6902),
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6903) gives:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) all_56_8 = e2 & op(e1, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6904) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) op(e1, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6766), (6905), (function-axioms) are
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) all_56_14 = e2 & op(e0, e1) = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6906) implies:
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) all_56_14 = e2
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6827), (6907) are inconsistent by sub-proof
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1437.
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | (6908) all_18_2 = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | COMBINE_EQS: (342), (6908) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6909) all_4_2 = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | SIMP: (6909) implies:
% 178.47/27.00 | | | | | | | | | | | | | (6910) all_4_2 = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (357), (6910) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6911) ~ (all_52_4 = e1)
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (36), (6910) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6912) op(e3, e3) = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | BETA: splitting (249) gives:
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | (6913) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.47/27.00 | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6912), (6913),
% 178.47/27.00 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.00 | | | | | | | | | | | | | | #423.
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | (6914) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.47/27.00 | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 178.47/27.00 | | | | | | | | | | | | | | op(e3, e2) = all_57_16 & $i(all_57_16))
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | BETA: splitting (6914) gives:
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | (6915) all_57_30 = e2 & op(e1, e1) = e2
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | ALPHA: (6915) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | (6916) op(e1, e1) = e2
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | REF_CLOSE: (9), (6766), (6916), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | (6917) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.47/27.00 | | | | | | | | | | | | | | | (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.47/27.00 | | | | | | | | | | | | | | | $i(all_57_16))
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | BETA: splitting (6917) gives:
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | (6918) all_57_31 = e2 & op(e0, e0) = e2
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | ALPHA: (6918) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | (6919) op(e0, e0) = e2
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6919), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | (6920) ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.47/27.00 | | | | | | | | | | | | | | | | $i(all_57_16)
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | ALPHA: (6920) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | (6921) ~ (all_57_16 = e3)
% 178.47/27.00 | | | | | | | | | | | | | | | | (6922) op(e3, e2) = all_57_16
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6923) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6912), (6923),
% 178.47/27.00 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.00 | | | | | | | | | | | | | | | | | #423.
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6924) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.47/27.00 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | BETA: splitting (6924) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (6925) all_57_30 = e2 & op(e1, e1) = e2
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | ALPHA: (6925) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (6926) op(e1, e1) = e2
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6766), (6926), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (6927) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | BETA: splitting (6927) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6928) all_57_31 = e2 & op(e0, e0) = e2
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | ALPHA: (6928) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6929) op(e0, e0) = e2
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6929), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6930) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | ALPHA: (6930) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6931) ~ (all_57_23 = e1)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6932) op(e1, e2) = all_57_23
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (162), (6932)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6933) all_57_23 = all_52_6
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (170), (6922)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6934) all_57_16 = all_52_4
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | REDUCE: (6921), (6934) imply:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6935) ~ (all_52_4 = e3)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | REDUCE: (6931), (6933) imply:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6936) ~ (all_52_6 = e1)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6937) all_54_9 = e3
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (6763), (6937) are inconsistent by
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6938) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (203), (273), (287), (6065), (6066),
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6911), (6935), (6936), (6938) are inconsistent by
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | sub-proof #363.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | (6939) all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | ALPHA: (6939) implies:
% 178.47/27.00 | | | | | | | | | | | | (6940) all_56_14 = e3
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.00 | | | | | | | | | | | | (219), (6068), (6766), (6940), (function-axioms)
% 178.47/27.00 | | | | | | | | | | | | are inconsistent by sub-proof #333.
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | End of split
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | (6941) all_14_2 = e2
% 178.47/27.00 | | | | | | | | | (6942) ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 178.47/27.00 | | | | | | | | | $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1) =
% 178.47/27.00 | | | | | | | | | all_14_1 & $i(all_14_1))
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | REDUCE: (374), (6941) imply:
% 178.47/27.00 | | | | | | | | | (6943) ~ (all_52_6 = e2)
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | REDUCE: (376), (6941) imply:
% 178.47/27.00 | | | | | | | | | (6944) ~ (all_52_8 = e2)
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | REDUCE: (377), (6941) imply:
% 178.47/27.00 | | | | | | | | | (6945) ~ (all_52_9 = e2)
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | REDUCE: (379), (6941) imply:
% 178.47/27.00 | | | | | | | | | (6946) ~ (all_52_11 = e2)
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | REDUCE: (51), (6941) imply:
% 178.47/27.00 | | | | | | | | | (6947) op(e1, e1) = e2
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | BETA: splitting (6942) gives:
% 178.47/27.00 | | | | | | | | |
% 178.47/27.00 | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | (6948) ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 178.47/27.00 | | | | | | | | | | $i(all_14_0)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | REF_CLOSE: (6075), (6948), (function-axioms) are inconsistent
% 178.47/27.00 | | | | | | | | | | by sub-proof #332.
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | (6949) ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 178.47/27.00 | | | | | | | | | | $i(all_14_1)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | ALPHA: (6949) implies:
% 178.47/27.00 | | | | | | | | | | (6950) ~ (all_14_1 = e3)
% 178.47/27.00 | | | | | | | | | | (6951) op(e2, e1) = all_14_1
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 178.47/27.00 | | | | | | | | | | all_14_1, e1, e2, simplifying with (165), (6951)
% 178.47/27.00 | | | | | | | | | | gives:
% 178.47/27.00 | | | | | | | | | | (6952) all_52_9 = all_14_1
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | COMBINE_EQS: (276), (6952) imply:
% 178.47/27.00 | | | | | | | | | | (6953) all_54_6 = all_14_1
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | REDUCE: (123), (6952) imply:
% 178.47/27.00 | | | | | | | | | | (6954) ~ (all_52_8 = all_14_1)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | REDUCE: (118), (6952) imply:
% 178.47/27.00 | | | | | | | | | | (6955) ~ (all_52_11 = all_14_1)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | SIMP: (6955) implies:
% 178.47/27.00 | | | | | | | | | | (6956) ~ (all_52_11 = all_14_1)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | REDUCE: (6945), (6952) imply:
% 178.47/27.00 | | | | | | | | | | (6957) ~ (all_14_1 = e2)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | REDUCE: (6068), (6952) imply:
% 178.47/27.00 | | | | | | | | | | (6958) ~ (all_14_1 = e0)
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | BETA: splitting (198) gives:
% 178.47/27.00 | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | (6959) all_54_6 = e3
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | COMBINE_EQS: (6953), (6959) imply:
% 178.47/27.00 | | | | | | | | | | | (6960) all_14_1 = e3
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | REDUCE: (6950), (6960) imply:
% 178.47/27.00 | | | | | | | | | | | (6961) $false
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | CLOSE: (6961) is inconsistent.
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | (6962) ~ (all_54_6 = e3)
% 178.47/27.00 | | | | | | | | | | | (6963) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | BETA: splitting (6963) gives:
% 178.47/27.00 | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | (6964) all_54_6 = e2
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | COMBINE_EQS: (6953), (6964) imply:
% 178.47/27.00 | | | | | | | | | | | | (6965) all_14_1 = e2
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | REDUCE: (6957), (6965) imply:
% 178.47/27.00 | | | | | | | | | | | | (6966) $false
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | CLOSE: (6966) is inconsistent.
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | (6967) ~ (all_54_6 = e2)
% 178.47/27.00 | | | | | | | | | | | | (6968) all_54_6 = e1 | all_54_6 = e0
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | BETA: splitting (6968) gives:
% 178.47/27.00 | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | (6969) all_54_6 = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | COMBINE_EQS: (6953), (6969) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6970) all_14_1 = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (6954), (6970) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6971) ~ (all_52_8 = e1)
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (6956), (6970) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6972) ~ (all_52_11 = e1)
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (6950), (6970) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6973) ~ (e3 = e1)
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (6957), (6970) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6974) ~ (e2 = e1)
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | REDUCE: (6951), (6970) imply:
% 178.47/27.00 | | | | | | | | | | | | | (6975) op(e2, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 178.47/27.00 | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | (6976) ~ (all_18_2 = e1)
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | REDUCE: (342), (6976) imply:
% 178.47/27.00 | | | | | | | | | | | | | | (6977) ~ (all_4_2 = e1)
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 178.47/27.00 | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | (6978) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00 | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (6978),
% 178.47/27.00 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.00 | | | | | | | | | | | | | | | #609.
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | (6979) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.00 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 178.47/27.00 | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | BETA: splitting (6979) gives:
% 178.47/27.00 | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | (6980) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | ALPHA: (6980) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | (6981) op(e1, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (6981), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | (6982) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.00 | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/27.00 | | | | | | | | | | | | | | | | $i(all_57_17))
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | BETA: splitting (6982) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6983) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | ALPHA: (6983) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6984) op(e0, e0) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6984), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6985) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | $i(all_57_17)
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | ALPHA: (6985) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6986) ~ (all_57_17 = e3)
% 178.47/27.00 | | | | | | | | | | | | | | | | | (6987) op(e3, e1) = all_57_17
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (6988) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (6988),
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.00 | | | | | | | | | | | | | | | | | | #609.
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | (6989) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | BETA: splitting (6989) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6990) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | ALPHA: (6990) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6991) op(e1, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (6991), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (6992) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (6992) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6993) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (6993) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6994) op(e0, e0) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6994), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6995) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (6995) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | (6996) op(e2, e1) = all_57_20
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | (6997) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (6997),
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | #609.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | (6998) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6998) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | (6999) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6999) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | (7000) op(e1, e1) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (7000), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | (7001) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | (7002) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7002) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | (7003) op(e0, e0) = e1
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7003), (function-axioms) are
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | (7004) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7004) implies:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | (7005) ~ (all_57_30 = e1)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | (7006) op(e1, e1) = all_57_30
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (7007) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (7007),
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | | #609.
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | (7008) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7008) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (7009) all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7009) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (7010) op(e1, e1) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (7010), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (7011) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7011) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7012) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) op(e0, e0) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7013), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7014) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) ~ (all_57_27 = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) op(e0, e1) = all_57_27
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (7016)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) all_57_27 = all_52_11
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6947), (7006)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) all_57_30 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (6975), (6996)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_57_20 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (6987)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) all_57_17 = all_52_8
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6986), (7020) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) ~ (all_52_8 = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7015), (7017) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) ~ (all_52_11 = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) all_54_2 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (7023) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) all_52_8 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7021), (7024) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) $false
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7025) is inconsistent.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7027) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) all_56_4 = e3 & op(e3, e1) = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7028) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) all_56_4 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) all_54_14 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (7030) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_52_11 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7031) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_52_11 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7017), (7032) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) all_57_27 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (7032) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) ~ (all_6_2 = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7034) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) ~ (all_6_2 = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (7036),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7037) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) all_56_4 = e0 & op(e3, e1) = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7029), (7038) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_56_9 = e0 & op(e3, e0) = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_56_9 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) all_54_15 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (7035), (7041) are inconsistent by
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) ~ (all_54_15 = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7043) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) all_54_15 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (7044) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) ~ (all_54_15 = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) all_54_15 = e1 | all_54_15 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7047) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_56_0 = e1 & op(e3, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7048) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) op(e3, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6977), (7049), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_56_1 = e1 & op(e3, e2) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7050) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) all_56_1 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7052) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) all_56_9 = e1 & op(e3, e0) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7040), (7053) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) all_56_10 = e1 & op(e2, e0) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7054) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) all_56_10 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (6068), (6074), (6947),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975), (7055), (function-axioms) are inconsistent
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #329.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7056) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_56_11 = e1 & op(e1, e0) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7057) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_56_11 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7059) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) all_56_9 = e2 & op(e3, e0) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7040), (7060) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_56_10 = e2 & op(e2, e0) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) all_56_10 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7063) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_56_1 = e2 & op(e3, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7064) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) all_56_1 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7051), (7065) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) e2 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7062), (7066) imply:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) all_56_10 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (6068), (6074), (6947),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975), (7067), (function-axioms) are inconsistent
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #329.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) all_56_3 = e2 & op(e2, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7068) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #392.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) all_56_7 = e2 & op(e1, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) op(e1, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7071), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) all_56_13 = e2 & op(e0, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7072) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) all_56_13 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7074) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) all_56_6 = e0 & op(e1, e3) = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7075) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) all_56_6 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (224), (6075), (6975),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977), (7062), (7077), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #344.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7078) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_56_6 = e1 & op(e1, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7079) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) all_56_6 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7076), (7080) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1551.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7081) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) op(e0, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (159), (7073), (7082), (7083),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7084) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7085) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) all_56_14 = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (39), (135), (158),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (165), (170), (189),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (208), (210), (211), (212),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (220), (223),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (227), (228), (229), (231), (233), (235),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (251), (254), (261), (286), (294), (353),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (357), (375), (384), (386), (387), (389),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066), (6068), (6074), (6075), (6943), (6944),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947), (6971), (6975), (6977), (7018), (7019),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020), (7021), (7026), (7033), (7035), (7086),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #303.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) all_56_15 = e3 & op(e0, e0) = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7087) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7088) op(e0, e0) = e3
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (7035), (7046), (7088),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7089) all_56_7 = e0 & op(e1, e2) = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6066), (7089), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7090) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6947), (7058), (7090),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #302.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7091) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) all_56_11 = e2 & op(e1, e0) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (6066), (6947), (7092), (function-axioms)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #921.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_56_15 = e2 & op(e0, e0) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7093) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) all_56_15 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7095) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7095) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) all_56_1 = e2 & op(e3, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7051), (7096) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) all_56_3 = e2 & op(e2, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7097) are inconsistent by sub-proof
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #392.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7098) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_56_7 = e2 & op(e1, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7099) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) op(e1, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7100), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) all_56_13 = e2 & op(e0, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7101) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) all_56_13 = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) op(e0, e2) = e2
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7104) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) all_56_6 = e0 & op(e1, e3) = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7105) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_56_6 = e0
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7107) gives:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) all_56_0 = e1 & op(e3, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7108) implies:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) op(e3, e3) = e1
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6977), (7109), (function-axioms) are
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) all_56_2 = e1 & op(e2, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7110) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) all_56_2 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7112) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7113) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) op(e0, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7115) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) all_56_0 = e2 & op(e3, e3) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7116) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) all_56_0 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (7106), (7111),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114), (7117), (function-axioms) are inconsistent
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1527.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_56_1 = e2 & op(e3, e2) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7118) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) op(e3, e2) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (7103), (7119),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7120) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_56_4 = e2 & op(e3, e1) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7029), (7121) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) all_56_9 = e2 & op(e3, e0) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7040), (7122) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) all_56_13 = e1 & op(e0, e2) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7123) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) all_56_13 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7102), (7124) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1086.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7125) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) all_56_14 = e1 & op(e0, e1) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7126) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) all_56_14 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6074), (7111), (7128) are inconsistent
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #938.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7129) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) all_56_5 = e2 & op(e2, e1) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7130) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) all_56_5 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (6068), (6947), (7127), (7131),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #912.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) all_56_10 = e2 & op(e2, e0) = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7132) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_56_10 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (7111), (7134),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #486.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (6975), (7133), (7135),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #429.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) all_56_15 = e1 & op(e0, e0) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7136) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) op(e0, e0) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7137), (function-axioms) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7138) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_56_6 = e1 & op(e1, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7139) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_56_6 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7106), (7140) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1551.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7141) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) op(e0, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (159), (7102), (7142), (7143),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7144) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7145) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) all_56_14 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (39), (135), (158),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (165), (170), (189),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (208), (210), (211), (212),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (220), (223),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (227), (228), (229), (231), (233), (235),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (251), (254), (261), (286), (294), (353),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (357), (375), (384), (386), (387), (389),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066), (6068), (6074), (6075), (6943), (6944),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947), (6971), (6975), (6977), (7018), (7019),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020), (7021), (7026), (7033), (7035), (7146),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #303.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) all_56_15 = e3 & op(e0, e0) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7147) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) all_56_15 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7094), (7148) imply:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) e3 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7149) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) e3 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (7150) imply:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) $false
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7151) is inconsistent.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_56_7 = e0 & op(e1, e2) = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6066), (7152), (function-axioms) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6947), (7058), (7153),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #302.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) all_56_15 = e1 & op(e0, e0) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7154) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) op(e0, e0) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7155), (function-axioms) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7156) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_56_4 = e1 & op(e3, e1) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7157) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) all_56_4 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7029), (7158) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1567.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) all_56_9 = e1 & op(e3, e0) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7040), (7159) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6946), (6972), (7022), (7160) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1233.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) all_56_5 = e3 & op(e2, e1) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7161) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) op(e2, e1) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6975), (7162), (function-axioms) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7163) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) all_56_8 = e3 & op(e1, e1) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7164) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) op(e1, e1) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6947), (7165), (function-axioms) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7166) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) all_56_14 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) all_54_14 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (7168) imply:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) all_52_11 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7169) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) all_52_11 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7017), (7170) imply:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) all_57_27 = e3
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (7170) imply:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) ~ (all_6_2 = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7172) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) ~ (all_6_2 = e3)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (39), (135), (158),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (165), (170), (189),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (208), (210), (211), (212),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (220), (223),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (227), (228), (229), (231), (233), (235),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (251), (254), (261), (286), (294), (353),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355), (357), (375), (384), (386), (387), (389),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066), (6068), (6074), (6075), (6943), (6944),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947), (6971), (6975), (6977), (7018), (7019),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020), (7021), (7026), (7167), (7171), (7173),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #303.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6946), (6972), (7022), (7174) are
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1233.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | End of split
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | (7175) all_18_2 = e1
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | COMBINE_EQS: (342), (7175) imply:
% 178.47/27.02 | | | | | | | | | | | | | | (7176) all_4_2 = e1
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | SIMP: (7176) implies:
% 178.47/27.02 | | | | | | | | | | | | | | (7177) all_4_2 = e1
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | COMBINE_EQS: (346), (7177) imply:
% 178.47/27.02 | | | | | | | | | | | | | | (7178) all_40_2 = e1
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | REDUCE: (36), (7177) imply:
% 178.47/27.02 | | | | | | | | | | | | | | (7179) op(e3, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.47/27.02 | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | (7180) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.47/27.02 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 178.47/27.02 | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | BETA: splitting (7180) gives:
% 178.47/27.02 | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | (7181) all_56_9 = e1 & op(e3, e0) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | ALPHA: (7181) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | (7182) all_56_9 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | (7183) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.47/27.02 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.47/27.02 | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | BETA: splitting (7183) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (7184) all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | ALPHA: (7184) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (7185) all_56_12 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (7186) op(e0, e3) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (159),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (162), (170), (206), (209), (211), (213), (214),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (216), (218), (220), (223), (224), (227), (229),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (230), (233), (235), (236), (386), (6065), (6066),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (6067), (6074), (6075), (6943), (6947), (6975),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (7179), (7182), (7185), (7186), (function-axioms)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #296.
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (7187) all_56_13 = e1 & op(e0, e2) = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | ALPHA: (7187) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | (7188) all_56_13 = e1
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | (7189) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (7189),
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | #1060.
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | (7190) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | (7191) all_56_4 = e0 & op(e3, e1) = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (7191) implies:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | (7192) all_56_4 = e0
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | |
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | (7193) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.47/27.02 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | (7194) all_56_1 = e2 & op(e3, e2) = e2
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7194) implies:
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | (7195) all_56_1 = e2
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | | (7196) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7196) gives:
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (7197) all_56_9 = e2 & op(e3, e0) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7197) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (7198) all_56_9 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7182), (7198) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | #1503.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (7199) all_56_10 = e2 & op(e2, e0) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7199) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (7200) all_56_10 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (7201) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7201) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) all_56_0 = e3 & op(e3, e3) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7202) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) all_56_0 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7204) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7205) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_56_2 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7207) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) all_56_4 = e3 & op(e3, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7208) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_56_4 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7192), (7209) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) e3 = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7206), (7210) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) all_56_2 = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6975), (7200),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211), (function-axioms) are inconsistent by
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) all_56_5 = e3 & op(e2, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7212) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) op(e2, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6975), (7213), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7214) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7215) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) op(e1, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6947), (7216), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) all_56_14 = e3 & op(e0, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7217) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) all_56_14 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (6074), (6075), (6947), (6975), (7179),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191), (7199), (7200), (7206), (7219),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #300.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7220) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7221) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) all_56_6 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (6066), (6947), (7222), (function-axioms)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1161.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) all_56_12 = e2 & op(e0, e3) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7223) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) all_56_12 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7225) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7226) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) all_56_0 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7203), (7227) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) e3 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7206), (7228) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) all_56_2 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6975), (7200),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229), (function-axioms) are inconsistent by
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) all_56_2 = e1 & op(e2, e3) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7230) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_56_2 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6975), (7200),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231), (function-axioms) are inconsistent by
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7232) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) all_56_6 = e1 & op(e1, e3) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7233) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) all_56_6 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (224),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (386), (6075), (6947), (7192), (7200),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218), (7224), (7234), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7235) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) all_56_12 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (220), (223), (224), (233), (6066),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6075), (6947), (6975), (7179), (7191),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192), (7199), (7200), (7206), (7236),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #299.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7237) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) op(e2, e2) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6075), (7238), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (6975), (7200), (7239),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | #429.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) all_56_1 = e3 & op(e3, e2) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7240) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) all_56_1 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7242) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) all_56_0 = e2 & op(e3, e3) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (6074), (6075), (6947), (6975), (7179),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191), (7199), (7200), (7243), (function-axioms)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #301.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7194), (7241) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1379.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7244) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) all_56_4 = e2 & op(e3, e1) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7192), (7245) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) all_56_9 = e2 & op(e3, e0) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7246) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_56_9 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7182), (7247) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) e2 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7200), (7248) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_56_10 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7250) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) all_56_0 = e0 & op(e3, e3) = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7251) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_56_0 = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7253) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7252), (7254) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #294.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) all_56_1 = e1 & op(e3, e2) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7255) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) all_56_1 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7257) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7258) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) all_56_2 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7195), (7256) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7260) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #939.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7262) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) op(e1, e2) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7263), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7264) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) all_56_13 = e2
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7266) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7267) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) all_56_2 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (212), (213), (214), (216), (217),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (236), (6066), (6068), (6069), (6947),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247), (7249), (7252), (7256), (7265), (7268),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6074), (7269) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #788.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7270) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) all_56_5 = e3 & op(e2, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7271) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) all_56_5 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7201), (7252), (7256) are inconsistent
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #293.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7273) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_56_4 = e3 & op(e3, e1) = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7274) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) all_56_4 = e3
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7276) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7191), (7275) are inconsistent by sub-proof
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) all_56_5 = e0 & op(e2, e1) = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6068), (7277), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7278) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) all_56_8 = e0 & op(e1, e1) = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7279) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) op(e1, e1) = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6947), (7280), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) all_56_14 = e0 & op(e0, e1) = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) all_56_14 = e0
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7283) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) all_56_4 = e1 & op(e3, e1) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7284) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) all_56_4 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (231), (236), (6068), (6069),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6943), (6947), (6975), (7247), (7249),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (7259), (7285), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #289.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) all_56_5 = e1 & op(e2, e1) = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7286) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) all_56_5 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7272), (7287) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) e3 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7288) implies:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) e3 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7275), (7289) imply:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) all_56_4 = e1
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (231), (236), (6068), (6069),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6943), (6947), (6975), (7247), (7249),
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (7259), (7290), (function-axioms) are
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #289.
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7291) gives:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) all_56_8 = e1 & op(e1, e1) = e1
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7292) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) op(e1, e1) = e1
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (7293), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) all_56_14 = e1 & op(e0, e1) = e1
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7282), (7294) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #674.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7295) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) all_56_9 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7247), (7296) imply:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) e3 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7272), (7297) imply:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) all_56_5 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (212), (213), (214), (216), (217),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (233), (236), (6066), (6068), (6069),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6947), (7247), (7249), (7252), (7256),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265), (7298), (function-axioms) are inconsistent
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #287.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7249), (7299) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1141.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7300) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #392.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7301) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7302) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) all_56_5 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7195), (7256) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7304) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #392.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7305) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7306) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) op(e1, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7307), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7308) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) all_56_13 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (212), (213), (214), (216), (217),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (233), (236), (6066), (6068), (6069),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6947), (7247), (7249), (7252), (7256),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303), (7309), (function-axioms) are inconsistent
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #287.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7199), (7249) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7310) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) all_56_4 = e1 & op(e3, e1) = e1
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7311) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) all_56_4 = e1
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7313) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7314) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) all_56_2 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (231), (236), (6068), (6069),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6943), (6947), (6975), (7247), (7249),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (7312), (7315), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #289.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7316) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #939.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7317) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) all_56_5 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7201) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) all_56_0 = e3 & op(e3, e3) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7252), (7320) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #375.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7321) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7322) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_56_2 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7195), (7241) imply:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) e3 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7323), (7324) imply:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_56_2 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (231), (6068), (6069), (6074),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943), (6947), (6975), (7241), (7247), (7249),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (7312), (7325), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7326) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #939.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7327) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) op(e1, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7329), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7330) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_56_13 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7332) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7191), (7312) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1477.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) all_56_5 = e0 & op(e2, e1) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6068), (7333), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7334) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_56_8 = e0 & op(e1, e1) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7335) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) op(e1, e1) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6947), (7336), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) all_56_14 = e0 & op(e0, e1) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7337) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) all_56_14 = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7339) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) all_56_0 = e2 & op(e3, e3) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7252), (7340) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #325.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7341) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) all_56_2 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (231), (6068), (6069), (6074),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943), (6947), (6975), (7241), (7247), (7249),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (7312), (7342), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (206),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (212), (213), (214), (216), (6066), (6069),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947), (7247), (7249), (7331), (7338), (7343),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #292.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6074), (7344) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #288.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7345) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_56_5 = e3 & op(e2, e1) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7346) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) all_56_5 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7319), (7347) imply:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) e3 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (7348) imply:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) $false
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7349) is inconsistent.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7350) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) all_56_10 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7249), (7351) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7352) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7352) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) all_56_4 = e3 & op(e3, e1) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7312), (7353) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #987.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7247), (7354) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7199), (7249) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7181), (7247) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) all_56_1 = e0 & op(e3, e2) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6065), (7355), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1466.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (6074), (6947), (6975), (7192), (7249),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7356) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) all_56_9 = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7247), (7357) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (7358) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7182), (7192), (7358) are inconsistent
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #297.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | (7359) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7359) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (7360) all_56_11 = e2 & op(e1, e0) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (216), (6066), (6947), (7360), (function-axioms)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #921.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (7361) all_56_15 = e2 & op(e0, e0) = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7361) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | (7362) all_56_15 = e2
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | (7363) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7363) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) all_56_0 = e3 & op(e3, e3) = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7364) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) all_56_0 = e3
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) all_56_15 = e0 & op(e0, e0) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7366) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) all_56_15 = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7362), (7367) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | #920.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7368) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7369) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7370) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) all_56_9 = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7371) are inconsistent by sub-proof
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1484.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7372) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) all_56_10 = e0 & op(e2, e0) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7373) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) op(e2, e0) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6069), (7374), (function-axioms) are
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1504.
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_56_11 = e0 & op(e1, e0) = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7375) implies:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) all_56_11 = e0
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7377) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) all_56_1 = e3 & op(e3, e2) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7378) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) all_56_1 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7195), (7379) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7380) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) op(e2, e2) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6075), (7381), (function-axioms) are
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) all_56_7 = e3 & op(e1, e2) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7383) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) all_56_7 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7385) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7386) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) all_56_0 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7365), (7387) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) e3 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7388) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) $false
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7389) is inconsistent.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) all_56_2 = e1 & op(e2, e3) = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7390) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) all_56_2 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7392) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7393) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) all_56_9 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7394) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) all_56_10 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6947), (7192), (7391), (7396),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #931.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7397) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_56_11 = e3 & op(e1, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7376), (7398) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #651.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) all_56_15 = e3 & op(e0, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7362), (7399) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #529.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7400) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7401) all_56_6 = e1 & op(e1, e3) = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7401) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402) all_56_6 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6975), (7192), (7403),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #909.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7404) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7404) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7405) all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7405) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) op(e1, e1) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6947), (7406), (function-axioms) are
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) all_56_14 = e3 & op(e0, e1) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7407) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) all_56_14 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (220),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (386), (6074), (6075), (6947),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192), (7408), (7409), (function-axioms) are
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #312.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7410) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) all_56_6 = e0 & op(e1, e3) = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7411) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) all_56_6 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7402), (7412) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1551.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) all_56_12 = e0 & op(e0, e3) = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7413) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) all_56_12 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7415) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416) all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7416) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) all_56_9 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7417) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7418) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) all_56_10 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7420) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) all_56_0 = e2 & op(e3, e3) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7365), (7421) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #974.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7422) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) all_56_2 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7424) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7364) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425) op(e3, e3) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (7179), (7425) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7426) e3 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7419), (7426) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427) all_56_10 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6074), (6975), (7423),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427), (function-axioms) are inconsistent by
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #787.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7428) all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7423), (7428) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7429) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7429) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7430) all_56_6 = e3 & op(e1, e3) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7430) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7431) all_56_6 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7402), (7431) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) e3 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7419), (7432) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) all_56_10 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6074), (6975), (7423),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433), (function-axioms) are inconsistent by
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #787.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) all_56_12 = e3 & op(e0, e3) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7414), (7434) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1533.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7435) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7436) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) all_56_6 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (6947), (7376), (7384),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437), (function-axioms) are inconsistent by
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1165.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) all_56_12 = e2 & op(e0, e3) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7438) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) all_56_12 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7440) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7441) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) all_56_2 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (220),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (386), (6074), (6075), (6947),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192), (7408), (7443), (function-axioms) are
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #312.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7410) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) all_56_6 = e0 & op(e1, e3) = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7444) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) all_56_6 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7402), (7445) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1551.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7414), (7439) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) e2 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7446) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) e2 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7442), (7447) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) all_56_2 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (6074), (6075), (6947), (7192), (7408),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448), (function-axioms) are inconsistent by
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7449) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) all_56_3 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6074), (7450) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) e2 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7362), (7451) imply:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) all_56_15 = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (211), (213),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (6066), (6947), (7182), (7419),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452), (function-axioms) are inconsistent by
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #919.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7453) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7454) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) all_56_5 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (6947),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192), (7455), (function-axioms) are inconsistent
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7456) all_56_10 = e2 & op(e2, e0) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7456) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7457) all_56_10 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (224),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (386), (6075), (6947), (7192), (7402),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408), (7439), (7457), (function-axioms) are
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7458) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7458) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7459) all_56_11 = e3 & op(e1, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7376), (7459) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #651.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460) all_56_15 = e3 & op(e0, e0) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7362), (7460) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #529.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461) all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7461) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7462) all_56_12 = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7463) op(e0, e3) = e1
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (159),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (170), (206), (209), (211), (213), (214),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (220), (223), (224), (227), (229),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (233), (235), (236), (386), (6065), (6066),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067), (6074), (6075), (6943), (6947), (6975),
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179), (7182), (7462), (7463), (function-axioms)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #296.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) all_56_13 = e3 & op(e0, e2) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7188), (7464) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) all_56_1 = e3 & op(e3, e2) = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7465) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) all_56_1 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7195), (7466) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | (7467) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7182), (7192), (7467) are inconsistent
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #297.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | (7468) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7468) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | #939.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | (7469) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7469) gives:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | (7470) all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7470) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | (7471) op(e1, e2) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7471), (function-axioms) are
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | (7472) all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7472) implies:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | (7473) all_56_13 = e2
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7188), (7473) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | | #1086.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | (7474) all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7474) are inconsistent by sub-proof
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | | #1505.
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | | |
% 178.69/27.05 | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | (7475) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | BETA: splitting (7475) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7476) all_56_14 = e1 & op(e0, e1) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | ALPHA: (7476) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7477) all_56_14 = e1
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | (7478) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (7478),
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | #1060.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | (7479) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (7479) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7480) all_56_4 = e0 & op(e3, e1) = e0
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (7480) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7481) all_56_4 = e0
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (6947), (6975), (7477),
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7481), (function-axioms) are inconsistent by
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | sub-proof #906.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7482) all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7482) are inconsistent by sub-proof
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | #1505.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7483) all_56_15 = e1 & op(e0, e0) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | ALPHA: (7483) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7484) op(e0, e0) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7484), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | (7485) all_56_10 = e1 & op(e2, e0) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | ALPHA: (7485) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7486) all_56_10 = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.69/27.06 | | | | | | | | | | | | | | | | (220), (223), (224), (6068), (6074), (6947),
% 178.69/27.06 | | | | | | | | | | | | | | | | (6975), (7486), (function-axioms) are inconsistent
% 178.69/27.06 | | | | | | | | | | | | | | | | by sub-proof #329.
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | (7487) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.69/27.06 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | BETA: splitting (7487) gives:
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | (7488) all_56_11 = e1 & op(e1, e0) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | ALPHA: (7488) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7489) all_56_11 = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (91), (162), (163), (213), (6066),
% 178.69/27.06 | | | | | | | | | | | | | | | | (6947), (7178), (7489), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | inconsistent by sub-proof #400.
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | (7490) all_56_15 = e1 & op(e0, e0) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | ALPHA: (7490) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7491) op(e0, e0) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7491), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | (7492) all_54_6 = e0
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | COMBINE_EQS: (6953), (7492) imply:
% 178.69/27.06 | | | | | | | | | | | | | (7493) all_14_1 = e0
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | REDUCE: (6958), (7493) imply:
% 178.69/27.06 | | | | | | | | | | | | | (7494) $false
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | CLOSE: (7494) is inconsistent.
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | End of split
% 178.69/27.06 | | | | | | | | |
% 178.69/27.06 | | | | | | | | End of split
% 178.69/27.06 | | | | | | | |
% 178.69/27.06 | | | | | | | End of split
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | Case 2:
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | (7495) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 178.69/27.06 | | | | | | | op(e0, e2) = e0)
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | REF_CLOSE: (158), (162), (6066), (6067), (7495), (function-axioms)
% 178.69/27.06 | | | | | | | are inconsistent by sub-proof #1198.
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | End of split
% 178.69/27.06 | | | | | |
% 178.69/27.06 | | | | | End of split
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | Case 2:
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | (7496) all_10_2 = e3
% 178.69/27.06 | | | | | (7497) ( ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 & $i(all_10_0))
% 178.69/27.06 | | | | | | ( ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 178.69/27.06 | | | | | $i(all_10_1))
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | REDUCE: (362), (7496) imply:
% 178.69/27.06 | | | | | (7498) ~ (all_52_1 = e3)
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | REDUCE: (365), (7496) imply:
% 178.69/27.06 | | | | | (7499) ~ (all_52_4 = e3)
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | REDUCE: (367), (7496) imply:
% 178.69/27.06 | | | | | (7500) ~ (all_52_6 = e3)
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | REDUCE: (369), (7496) imply:
% 178.69/27.06 | | | | | (7501) ~ (all_52_7 = e3)
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | REDUCE: (371), (7496) imply:
% 178.69/27.06 | | | | | (7502) ~ (all_52_9 = e3)
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | REDUCE: (373), (7496) imply:
% 178.69/27.06 | | | | | (7503) ~ (all_52_13 = e3)
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | BETA: splitting (224) gives:
% 178.69/27.06 | | | | |
% 178.69/27.06 | | | | | Case 1:
% 178.69/27.06 | | | | | |
% 178.69/27.06 | | | | | | (7504) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 178.69/27.06 | | | | | | op(e2, e2) = e3)
% 178.69/27.06 | | | | | |
% 178.69/27.06 | | | | | | BETA: splitting (7504) gives:
% 178.69/27.06 | | | | | |
% 178.69/27.06 | | | | | | Case 1:
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | (7505) all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | ALPHA: (7505) implies:
% 178.69/27.06 | | | | | | | (7506) op(e2, e3) = e3
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | REF_CLOSE: (167), (7498), (7506), (function-axioms) are
% 178.69/27.06 | | | | | | | inconsistent by sub-proof #286.
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | Case 2:
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | (7507) all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | ALPHA: (7507) implies:
% 178.69/27.06 | | | | | | | (7508) all_56_3 = e3
% 178.69/27.06 | | | | | | | (7509) op(e2, e2) = e3
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | BETA: splitting (52) gives:
% 178.69/27.06 | | | | | | |
% 178.69/27.06 | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | |
% 178.69/27.06 | | | | | | | | (7510) ~ (all_14_2 = e2)
% 178.69/27.06 | | | | | | | |
% 178.69/27.06 | | | | | | | | BETA: splitting (55) gives:
% 178.69/27.06 | | | | | | | |
% 178.69/27.06 | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | |
% 178.69/27.06 | | | | | | | | | (7511) ~ (all_16_2 = e3)
% 178.69/27.06 | | | | | | | | |
% 178.69/27.06 | | | | | | | | | REDUCE: (338), (7511) imply:
% 178.69/27.06 | | | | | | | | | (7512) ~ (all_14_2 = e3)
% 178.69/27.06 | | | | | | | | |
% 178.69/27.06 | | | | | | | | | BETA: splitting (58) gives:
% 178.69/27.06 | | | | | | | | |
% 178.69/27.06 | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | (7513) ~ (all_18_2 = e1)
% 178.69/27.06 | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | REDUCE: (342), (7513) imply:
% 178.69/27.06 | | | | | | | | | | (7514) ~ (all_4_2 = e1)
% 178.69/27.06 | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | BETA: splitting (70) gives:
% 178.69/27.06 | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | (7515) ~ (all_26_2 = e0)
% 178.69/27.06 | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | REDUCE: (318), (7515) imply:
% 178.69/27.06 | | | | | | | | | | | (7516) ~ (all_14_2 = e0)
% 178.69/27.06 | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | BETA: splitting (238) gives:
% 178.69/27.06 | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | (7517) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 178.69/27.06 | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (7517),
% 178.69/27.06 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.06 | | | | | | | | | | | | #285.
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | (7518) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 178.69/27.06 | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | BETA: splitting (7518) gives:
% 178.69/27.06 | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | (7519) all_57_30 = e0 & op(e1, e1) = e0
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (7510), (7512), (7516),
% 178.69/27.06 | | | | | | | | | | | | | (7519), (function-axioms) are inconsistent by
% 178.69/27.06 | | | | | | | | | | | | | sub-proof #1616.
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | (7520) op(e0, e0) = all_57_31 & $i(all_57_31)
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | ALPHA: (7520) implies:
% 178.69/27.06 | | | | | | | | | | | | | (7521) op(e0, e0) = all_57_31
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 178.69/27.06 | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | (7522) all_54_10 = e3
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | COMBINE_EQS: (349), (7522) imply:
% 178.69/27.06 | | | | | | | | | | | | | | (7523) all_14_2 = e3
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | REDUCE: (7512), (7523) imply:
% 178.69/27.06 | | | | | | | | | | | | | | (7524) $false
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | CLOSE: (7524) is inconsistent.
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | (7525) ~ (all_54_10 = e3)
% 178.69/27.06 | | | | | | | | | | | | | | (7526) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | BETA: splitting (7526) gives:
% 178.69/27.06 | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | (7527) all_54_10 = e2
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (7527) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | (7528) all_14_2 = e2
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | REDUCE: (7510), (7528) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | (7529) $false
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | CLOSE: (7529) is inconsistent.
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | (7530) ~ (all_54_10 = e2)
% 178.69/27.06 | | | | | | | | | | | | | | | (7531) all_54_10 = e1 | all_54_10 = e0
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | BETA: splitting (7531) gives:
% 178.69/27.06 | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | (7532) all_54_10 = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (7532) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7533) all_14_2 = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (363), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7534) ~ (all_52_2 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (376), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7535) ~ (all_52_8 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (377), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7536) ~ (all_52_9 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (379), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7537) ~ (all_52_11 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (381), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7538) ~ (all_52_14 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (7512), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7539) ~ (e3 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (7510), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7540) ~ (e2 = e1)
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | REDUCE: (51), (7533) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7541) op(e1, e1) = e1
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 178.69/27.06 | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (7521)
% 178.69/27.06 | | | | | | | | | | | | | | | | gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | (7542) all_57_31 = all_6_2
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | (7543) ~ (all_30_2 = e2)
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | REDUCE: (343), (7543) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | | (7544) ~ (all_4_2 = e2)
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7545) all_54_0 = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (7545) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7546) all_4_2 = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | REDUCE: (353), (7546) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7547) ~ (all_52_2 = e3)
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | REDUCE: (359), (7546) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7548) ~ (all_52_8 = e3)
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | REDUCE: (36), (7546) imply:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | (7549) op(e3, e3) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | (7550) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7502), (7548), (7550),
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | #1345.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | (7551) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7552) all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (7552) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7553) op(e1, e1) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7541), (7553), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7554) all_56_14 = e3 & op(e0, e1) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | ALPHA: (7554) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7555) all_56_14 = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | (7556) op(e0, e1) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | (7557) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (7500), (7547), (7557),
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | #284.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | (7558) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7558) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | (7559) all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7559) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | (7560) op(e1, e1) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7541), (7560), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | (7561) all_56_11 = e3 & op(e1, e0) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7561) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | (7562) all_56_11 = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | (7563) op(e1, e0) = e3
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | (7564) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7549), (7564), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | (7565) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_16 & $i(all_57_16))
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7565) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (7566) all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7566) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (7567) op(e1, e1) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7567), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (7568) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7568) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7569) all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7569) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7570) op(e0, e0) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7570), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7571) ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7571) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | (7572) op(e3, e2) = all_57_16
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7549), (7573), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_26 & $i(all_57_26))
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7574) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7575) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) op(e1, e1) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7576), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7577) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7578) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) op(e0, e0) = e2
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7579), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7580) implies:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) op(e0, e2) = all_57_26
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7549), (7582), (function-axioms) are
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7583) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7584) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) op(e1, e1) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7585), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7586) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7587) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) op(e0, e0) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7588), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7589) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) ~ (all_57_29 = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) op(e2, e2) = all_57_29
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7549), (7590), (7591), (7592),
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #282.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7593) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7594) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) op(e1, e1) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7595), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7596) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7597) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) op(e0, e0) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7598), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7599) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) ~ (all_57_23 = e1)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) op(e1, e2) = all_57_23
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (7556) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) all_52_11 = e3
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e2, e0, simplifying with (158), (7581)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_57_26 = all_52_7
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (7563) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) all_52_14 = e3
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (162), (7601)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) all_57_23 = all_52_6
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e2, e2, simplifying with (7509), (7591)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) all_57_29 = e3
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (170), (7572)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) all_57_16 = all_52_4
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7600), (7605) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) ~ (all_52_6 = e1)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7604) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) ~ (all_52_12 = e3)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (7604) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) ~ (all_6_2 = e3)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7610) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) ~ (all_6_2 = e3)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) all_54_15 = e3
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7612) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) all_6_2 = e3
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7613) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) $false
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7614) is inconsistent.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) ~ (all_54_15 = e3)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7616) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) all_54_15 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7617) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) all_6_2 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (7618) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) $false
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7619) is inconsistent.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) ~ (all_54_15 = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) all_54_15 = e1 | all_54_15 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) all_54_15 = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7622) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) all_6_2 = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (7623) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) $false
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7624) is inconsistent.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_54_15 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7625) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) all_6_2 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7542), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) all_57_31 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) ~ (all_52_7 = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) ~ (all_52_12 = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) ~ (all_52_13 = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) ~ (e3 = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) ~ (e2 = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) ~ (e1 = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7626) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) op(e0, e0) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7635) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) all_56_12 = e2 & op(e0, e3) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7636) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) all_56_12 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) op(e0, e3) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7640) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) op(e3, e3) = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7549), (7641), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) all_56_2 = e1 & op(e2, e3) = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7642) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) all_56_2 = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7644) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) all_56_2 = e0 & op(e2, e3) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7643), (7645) are inconsistent by sub-proof
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1560.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) all_56_3 = e0 & op(e2, e2) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7646) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) op(e2, e2) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (7647), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7648) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) all_56_5 = e0 & op(e2, e1) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7649) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) all_56_5 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) op(e2, e1) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7652) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) all_56_4 = e2 & op(e3, e1) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) all_56_4 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7655) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7656) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_56_2 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) op(e2, e3) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (229), (231), (386), (7514),
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637), (7657), (7658), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #988.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7659) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) op(e2, e2) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7590), (7591), (7660), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1043.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7661) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7662) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) all_56_5 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7650), (7663) are inconsistent by sub-proof
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1276.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_56_10 = e2 & op(e2, e0) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7664) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) all_56_10 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) op(e2, e0) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7667) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) all_56_9 = e1 & op(e3, e0) = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7668) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_56_9 = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) op(e3, e0) = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (7643), (7671),
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7672) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_56_6 = e0 & op(e1, e3) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7673) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_56_6 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7675) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7676) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_56_6 = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7674), (7677) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) e2 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7678) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) e2 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7679) imply:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) all_56_12 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7549), (7643), (7674),
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680), (function-axioms) are inconsistent by
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7681) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) op(e1, e2) = e2
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7683) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_56_0 = e0 & op(e3, e3) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7684) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) op(e3, e3) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (7685), (function-axioms) are
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) all_56_1 = e0 & op(e3, e2) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_56_1 = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) op(e3, e2) = e0
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7509), (7687), (7689),
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #281.
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7690) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_56_7 = e1 & op(e1, e2) = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7691) implies:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) all_56_7 = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (7541), (7562), (7674),
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692), (function-axioms) are inconsistent by
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1007.
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) all_56_13 = e1 & op(e0, e2) = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7693) implies:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) all_56_13 = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) op(e0, e2) = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7695) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) all_52_7 = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7638) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_52_3 = e2
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7682) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) all_52_6 = e2
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (7666) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) all_52_13 = e2
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7651) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) all_52_9 = e0
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (7670) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_52_12 = e1
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (7688) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) all_52_4 = e0
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7605), (7698) imply:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) all_57_23 = e2
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7607), (7702) imply:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_57_16 = e0
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7503), (7699) imply:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) ~ (e3 = e2)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7706) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (7498), (7548), (7707),
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7708) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7709) implies:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) op(e0, e3) = e3
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7638), (7710), (function-axioms) are
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1039.
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7711) implies:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_57_16 = e2
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7704), (7712) imply:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) e2 = e0
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7713) implies:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) e2 = e0
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7714) imply:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) all_56_12 = e0
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (7555), (7694),
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715), (function-axioms) are inconsistent by
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7716) gives:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7717) gives:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7718) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) op(e2, e1) = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (7651), (7719) gives:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) e2 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7720) imply:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) all_56_12 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (7555), (7694),
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721), (function-axioms) are inconsistent by
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7722) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) op(e0, e2) = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7695), (7723), (function-axioms) are
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7724) gives:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7725) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) op(e3, e1) = e1
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7535), (7726), (function-axioms) are
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7727) gives:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7728) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) op(e2, e1) = e1
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7536), (7729), (function-axioms) are
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7730) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7627), (7703), (7731), (function-axioms) are
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #778.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7732) gives:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) all_56_4 = e0 & op(e3, e1) = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7733) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) all_56_4 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7654), (7734) imply:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) e2 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7735) imply:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) all_56_12 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7549), (7643), (7674),
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736), (function-axioms) are inconsistent by
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7737) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_56_9 = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7669), (7738) are inconsistent by sub-proof
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1484.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7739) gives:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) all_56_8 = e2 & op(e1, e1) = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7740) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) op(e1, e1) = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7741), (function-axioms) are
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_56_11 = e2 & op(e1, e0) = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7742) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_56_11 = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7562), (7743) imply:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) e3 = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7744) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) e3 = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7555), (7745) imply:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_56_14 = e2
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (387), (7537), (7637), (7746),
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) all_56_12 = e0 & op(e0, e3) = e0
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7747) implies:
% 178.69/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) all_56_12 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) op(e0, e3) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (207), (208),
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (389), (7555), (7748), (7749),
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1506.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_56_10 = e1 & op(e2, e0) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7665), (7750) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #621.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (7538), (7751),
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1488.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7752) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_56_5 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7650), (7753) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1276.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7754) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) all_56_8 = e2 & op(e1, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7755) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) op(e1, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7756), (function-axioms) are
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_56_14 = e2 & op(e0, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7757) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) all_56_14 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (387), (7537), (7637), (7758),
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_56_10 = e0 & op(e2, e0) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7759) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) op(e2, e0) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7630), (7760), (function-axioms) are
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1504.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7761) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_56_6 = e1 & op(e1, e3) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7762) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) op(e1, e3) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7534), (7763), (function-axioms) are
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7637), (7764) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1550.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7765) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_56_13 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) op(e0, e2) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7768) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_56_1 = e1 & op(e3, e2) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7769) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) all_56_1 = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) all_56_12 = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) op(e0, e3) = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (7770), (7775),
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1580.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7776) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) all_56_4 = e0 & op(e3, e1) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7777) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) all_56_4 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) op(e3, e1) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7780) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) all_56_4 = e2 & op(e3, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7781) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_56_4 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7778), (7782) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1394.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7783) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) all_56_5 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) op(e2, e1) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7786) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) all_56_1 = e0 & op(e3, e2) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7770), (7787) are inconsistent by sub-proof
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1581.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) all_56_3 = e0 & op(e2, e2) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7788) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) op(e2, e2) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (7789), (function-axioms) are
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7790) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) all_56_7 = e0 & op(e1, e2) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7791) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) all_56_7 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) op(e1, e2) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7794) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7795) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) all_56_6 = e2
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_56_0 = e0 & op(e3, e3) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7798) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) op(e3, e3) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (7799), (function-axioms) are
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_56_2 = e0 & op(e2, e3) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7800) implies:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_56_2 = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) op(e2, e3) = e0
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7803) gives:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) all_56_2 = e1 & op(e2, e3) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7804) implies:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_56_2 = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7801), (7805) are inconsistent by sub-proof
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1535.
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) all_56_3 = e1 & op(e2, e2) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7806) implies:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) op(e2, e2) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7509), (7807), (function-axioms) are
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7808) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_56_5 = e1 & op(e2, e1) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7809) implies:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) op(e2, e1) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7785), (7810), (function-axioms) are
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) all_56_10 = e1 & op(e2, e0) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7811) implies:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) all_56_10 = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) op(e2, e0) = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7814) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) all_56_9 = e2 & op(e3, e0) = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7815) implies:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) all_56_9 = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) op(e3, e0) = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7767) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) all_52_7 = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7774) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) all_52_3 = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7793) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) all_52_6 = e0
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (7813) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_52_13 = e1
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7785) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) all_52_9 = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7802) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) all_52_1 = e0
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (7817) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_52_12 = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (7779) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) all_52_8 = e0
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7603), (7818) imply:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) all_57_26 = e2
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7605), (7820) imply:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) all_57_23 = e0
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7609), (7824) imply:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) ~ (e3 = e2)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7829) gives:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (7548), (7802), (7830),
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1262.
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (159), (7774), (7802), (7831),
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #278.
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7832) gives:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) all_57_23 = e2
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7827), (7835) imply:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) e2 = e0
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7836) implies:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) e2 = e0
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7816), (7837) imply:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) all_56_9 = e0
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (7549), (7770), (7778),
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838), (function-axioms) are inconsistent by
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1392.
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7839) implies:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) ~ (all_57_29 = e0)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) op(e2, e0) = e2
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (7813), (7841) gives:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) e2 = e1
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7766), (7842) imply:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) all_56_13 = e1
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (389), (7773), (7774), (7843),
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) op(e3, e1) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7779), (7846), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (7538), (7785), (7826), (7847),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #276.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) all_56_10 = e2 & op(e2, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7848) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_56_10 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7812), (7849) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) e2 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7766), (7850) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) all_56_13 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (389), (7773), (7774), (7851),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7852) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) all_56_11 = e2 & op(e1, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7853) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) all_56_11 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7541), (7792), (7796),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854), (function-axioms) are inconsistent by
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) all_56_15 = e2 & op(e0, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7855) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) op(e0, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7856), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7857) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) all_56_6 = e0 & op(e1, e3) = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7796), (7858) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1455.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) all_56_12 = e0 & op(e0, e3) = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7859) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) all_56_12 = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) op(e0, e3) = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (387), (389), (7634), (7766), (7860),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861), (function-axioms) are inconsistent by
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #928.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) all_56_7 = e2 & op(e1, e2) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7862) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) all_56_7 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7792), (7863) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) e2 = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7864) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) e2 = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (7865) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) $false
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7866) is inconsistent.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7867) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) all_56_8 = e2 & op(e1, e1) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7868) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) op(e1, e1) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (7555), (7778), (7784),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869), (function-axioms) are inconsistent by
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #933.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) all_56_11 = e2 & op(e1, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7870) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) all_56_11 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7562), (7871) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1482.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) all_56_13 = e0 & op(e0, e2) = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) op(e0, e2) = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7628), (7873), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1463.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7541), (7555), (7874),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1085.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) all_56_9 = e0 & op(e3, e0) = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7875) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) all_56_9 = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7877) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) all_56_9 = e2 & op(e3, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7878) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) all_56_9 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7876), (7879) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1570.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) all_56_10 = e2 & op(e2, e0) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7880) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) all_56_10 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7882) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) all_56_9 = e1 & op(e3, e0) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7883) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) all_56_9 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7876), (7884) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1484.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_56_10 = e1 & op(e2, e0) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7885) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) all_56_10 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7881), (7886) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) e2 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7887) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) e2 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7766), (7888) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) all_56_13 = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (389), (7773), (7774), (7889),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (7538), (7890),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1488.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (7562), (7891),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1158.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) all_56_13 = e1 & op(e0, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7892) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) op(e0, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7767), (7893), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (7537), (7894),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) all_56_3 = e1 & op(e2, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7895) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) op(e2, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7509), (7896), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7897) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) all_56_7 = e1 & op(e1, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7898) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) op(e1, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7608), (7899), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #834.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) all_56_13 = e1 & op(e0, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7900) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) op(e0, e2) = e1
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7767), (7901), (function-axioms) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (7555), (7902),
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | (7903) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (7514), (7544), (7903) are
% 178.90/27.12 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7904) all_30_2 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (7904) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7905) all_4_2 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | REDUCE: (351), (7905) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7906) ~ (all_52_1 = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | REDUCE: (357), (7905) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7907) ~ (all_52_4 = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | REDUCE: (359), (7905) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7908) ~ (all_52_8 = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | REDUCE: (361), (7905) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7909) ~ (all_52_12 = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | REDUCE: (36), (7905) imply:
% 178.90/27.12 | | | | | | | | | | | | | | | | | (7910) op(e3, e3) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | (7911) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | BETA: splitting (7911) gives:
% 178.90/27.12 | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | (7912) all_56_0 = e2 & op(e3, e3) = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | |
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | ALPHA: (7912) implies:
% 178.90/27.12 | | | | | | | | | | | | | | | | | | | (7913) all_56_0 = e2
% 178.90/27.12 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (76), (79), (110), (112), (113), (117), (118),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (126), (128), (133),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (141), (145),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (193), (194), (195),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (202), (203), (204),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (219), (220),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (227), (229), (230),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (239), (240),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (241), (246), (247), (248), (249), (250), (251),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (252), (253), (254), (261), (262), (263), (265),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (273), (275), (276), (284), (285), (286), (287),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (294), (343), (344), (349), (351), (353), (355),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (357), (359), (361), (375), (376), (381), (382),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (383), (384), (385), (386), (387), (389), (7498),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7499), (7500), (7501), (7502), (7503), (7509),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7510), (7512), (7516), (7531), (7534), (7535),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7536), (7537), (7538), (7541), (7542), (7906),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7907), (7908), (7909), (7910), (7913),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | #254.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7914) all_56_2 = e2 & op(e2, e3) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | ALPHA: (7914) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7915) all_56_2 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | (7916) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7916) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7917) all_56_0 = e2 & op(e3, e3) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7917) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7918) all_56_0 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (76), (79), (110), (112), (113), (117), (118),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (126), (128), (133),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (139), (140), (141), (145),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (146), (148), (149), (157), (158), (159), (160),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (170), (189), (190), (191), (193), (194), (195),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (202), (203), (204),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (217), (218), (219), (220),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (227), (229), (230),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (239), (240),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (241), (246), (247), (248), (249), (250), (251),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (252), (253), (254), (261), (262), (263), (265),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (273), (275), (276), (284), (285), (286), (287),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (294), (343), (344), (349), (351), (353), (355),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (357), (359), (361), (375), (376), (381), (382),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (383), (384), (385), (386), (387), (389), (7498),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7499), (7500), (7501), (7502), (7503), (7509),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7510), (7512), (7516), (7531), (7534), (7535),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7536), (7537), (7538), (7541), (7542), (7906),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7907), (7908), (7909), (7910), (7918),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | #254.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7919) all_56_1 = e2 & op(e3, e2) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7919) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7920) op(e3, e2) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7907), (7920), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | (7921) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7921) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7922) all_56_4 = e2 & op(e3, e1) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7922) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7923) all_56_4 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | (7924) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7910), (7915), (7924), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #481.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | (7925) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7925) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7926) all_56_6 = e1 & op(e1, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7926) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7927) all_56_6 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (229), (235),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (386), (7910), (7915), (7927), (function-axioms)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #479.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7928) all_56_12 = e1 & op(e0, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7928) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7929) op(e0, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | (7930) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7499), (7910), (7930),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | (7931) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7931) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7932) all_56_4 = e3 & op(e3, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7932) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_56_4 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7923), (7933) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | #1285.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_56_9 = e3 & op(e3, e0) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7934) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7935) all_56_9 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7936) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) all_56_4 = e3 & op(e3, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7937) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) all_56_4 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7923), (7938) imply:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) e3 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7939) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) e3 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7935), (7940) imply:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) all_56_9 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7942) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) all_56_0 = e1 & op(e3, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) op(e3, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7910), (7944), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) all_56_1 = e1 & op(e3, e2) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7945) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) op(e3, e2) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7910), (7946), (7947),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1578.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7931) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7923), (7938) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1285.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7935), (7941) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1576.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (236),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (7910), (7941), (7948), (function-axioms)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1564.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) all_56_5 = e3 & op(e2, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7949) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) op(e2, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7502), (7950), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7951) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_56_8 = e3 & op(e1, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7952) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) op(e1, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7541), (7953), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_56_14 = e3 & op(e0, e1) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_56_14 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7498), (7910), (7956),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #265.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7957) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_56_6 = e3 & op(e1, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7958) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) op(e1, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (7915), (7929),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959), (function-axioms) are inconsistent by
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1224.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) all_56_12 = e3 & op(e0, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (387), (389), (7537),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955), (7960), (function-axioms) are inconsistent
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #261.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7961) all_56_9 = e2 & op(e3, e0) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (232), (236), (386), (7910), (7961),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | #1563.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | (7962) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 178.90/27.13 | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | BETA: splitting (7962) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7963) all_56_6 = e2 & op(e1, e3) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | ALPHA: (7963) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7964) all_56_6 = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | (7965) op(e1, e3) = e2
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | (7966) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7498), (7910), (7966),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | #265.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | (7967) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7967) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7968) all_56_6 = e3 & op(e1, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7968) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7969) op(e1, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7965), (7969), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1021.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7970) all_56_12 = e3 & op(e0, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7970) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7971) all_56_12 = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | (7972) op(e0, e3) = e3
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | (7973) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7973) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7974) all_56_12 = e1 & op(e0, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7974) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7975) op(e0, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (7972), (7975), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7976) all_56_13 = e1 & op(e0, e2) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7976) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | (7977) all_56_13 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | (7978) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7978) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_56_0 = e1 & op(e3, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7979) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7980) op(e3, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7910), (7980), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7981) all_56_2 = e1 & op(e2, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (7964), (7971),
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7981), (function-axioms) are inconsistent by
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1013.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | (7982) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7982) gives:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7983) all_56_6 = e1 & op(e1, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7983) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7984) op(e1, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7534), (7984), (function-axioms) are
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7985) all_56_12 = e1 & op(e0, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7985) implies:
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7986) all_56_12 = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | | (7987) op(e0, e3) = e1
% 178.90/27.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (389), (7977), (7986), (7987),
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | (7988) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (7537), (7988),
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | #1515.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | (7989) all_56_12 = e2 & op(e0, e3) = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | (235), (386), (7910), (7989), (function-axioms)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1544.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | (7990) all_54_10 = e0
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (7990) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | (7991) all_14_2 = e0
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | REDUCE: (7516), (7991) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | (7992) $false
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | CLOSE: (7992) is inconsistent.
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | End of split
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | (7993) all_26_2 = e0
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | COMBINE_EQS: (318), (7993) imply:
% 178.90/27.14 | | | | | | | | | | | (7994) all_14_2 = e0
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | REDUCE: (376), (7994) imply:
% 178.90/27.14 | | | | | | | | | | | (7995) ~ (all_52_8 = e0)
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | REDUCE: (377), (7994) imply:
% 178.90/27.14 | | | | | | | | | | | (7996) ~ (all_52_9 = e0)
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | REDUCE: (51), (7994) imply:
% 178.90/27.14 | | | | | | | | | | | (7997) op(e1, e1) = e0
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | BETA: splitting (245) gives:
% 178.90/27.14 | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | (7998) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14 | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (7998),
% 178.90/27.14 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.14 | | | | | | | | | | | | #253.
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | (7999) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14 | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 178.90/27.14 | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | BETA: splitting (7999) gives:
% 178.90/27.14 | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | (8000) all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | ALPHA: (8000) implies:
% 178.90/27.14 | | | | | | | | | | | | | (8001) op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | REF_CLOSE: (4), (7997), (8001), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | (8002) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14 | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.90/27.14 | | | | | | | | | | | | | $i(all_57_17))
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | BETA: splitting (8002) gives:
% 178.90/27.14 | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | (8003) all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | ALPHA: (8003) implies:
% 178.90/27.14 | | | | | | | | | | | | | | (8004) op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8004), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | (8005) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.90/27.14 | | | | | | | | | | | | | | $i(all_57_17)
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | ALPHA: (8005) implies:
% 178.90/27.14 | | | | | | | | | | | | | | (8006) ~ (all_57_17 = e3)
% 178.90/27.14 | | | | | | | | | | | | | | (8007) op(e3, e1) = all_57_17
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.90/27.14 | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | (8008) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14 | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (8008),
% 178.90/27.14 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.14 | | | | | | | | | | | | | | | #253.
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | (8009) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 178.90/27.14 | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | BETA: splitting (8009) gives:
% 178.90/27.14 | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | (8010) all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | ALPHA: (8010) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | (8011) op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7997), (8011), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | (8012) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14 | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.90/27.14 | | | | | | | | | | | | | | | | $i(all_57_27))
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | BETA: splitting (8012) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | (8013) all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | ALPHA: (8013) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | (8014) op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8014), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | (8015) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | $i(all_57_27)
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | ALPHA: (8015) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | (8016) ~ (all_57_27 = e0)
% 178.90/27.14 | | | | | | | | | | | | | | | | | (8017) op(e0, e1) = all_57_27
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | (8018) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (8018),
% 178.90/27.14 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.14 | | | | | | | | | | | | | | | | | | #253.
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | (8019) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | BETA: splitting (8019) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | (8020) all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | ALPHA: (8020) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | (8021) op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7997), (8021), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | (8022) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (8022) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | (8023) all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (8023) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | (8024) op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8024), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | (8025) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (8025) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | (8026) ~ (all_57_30 = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | (8027) op(e1, e1) = all_57_30
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | (8028) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (8028),
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | #253.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | (8029) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8029) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | (8030) all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8030) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | (8031) op(e1, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8026), (8027), (8031), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | (8032) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8032) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8033) all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8033) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8034) op(e0, e0) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8034), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8035) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8035) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8036) ~ (all_57_20 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8037) op(e2, e1) = all_57_20
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (8017)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8038) all_57_27 = all_52_11
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (7997), (8027)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8039) all_57_30 = e0
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (8037)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8040) all_57_20 = all_52_9
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (8007)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8041) all_57_17 = all_52_8
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8006), (8041) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8042) ~ (all_52_8 = e3)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8036), (8040) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8043) ~ (all_52_9 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8016), (8038) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | (8044) ~ (all_52_11 = e0)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (8045) all_54_6 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (8045) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (8046) all_52_9 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7502), (8046) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (8047) $false
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8047) is inconsistent.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (8048) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_54_6 = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (8043), (8049) are inconsistent by
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1241.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (8050) ~ (all_54_6 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (8051) all_54_6 = e1 | all_54_6 = e0
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8051) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) all_54_6 = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (8052) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_52_9 = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8053) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) all_52_9 = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8040), (8054) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) all_57_20 = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8054) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) ~ (all_52_1 = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8054) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) ~ (all_52_8 = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (8054) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) op(e2, e1) = e1
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_54_2 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (8042), (8059) are inconsistent by
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) ~ (all_54_2 = e3)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8061) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) all_54_2 = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (8062) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) all_52_8 = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8063) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) all_52_8 = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8064) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) ~ (all_52_11 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8065) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) ~ (all_52_11 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8064) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) ~ (all_52_12 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8067) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) ~ (all_52_12 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (8064) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) ~ (all_4_2 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8069) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) ~ (all_4_2 = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_54_0 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (8071) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) all_4_2 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8072) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) all_4_2 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (8073) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) ~ (all_52_12 = e3)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8073) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) op(e3, e3) = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8075), (8076), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8077) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8078) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) op(e1, e1) = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7997), (8079), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8080) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8081) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) op(e0, e0) = e2
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8082), (function-axioms) are
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8083) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) ~ (all_57_23 = e1)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) all_54_14 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (8085) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) all_52_11 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8086) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) all_52_11 = e3
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (8087) imply:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) ~ (all_6_2 = e3)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8088) implies:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) ~ (all_6_2 = e3)
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) all_54_15 = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8089), (8090) are inconsistent by
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8091) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) all_54_15 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (8092) are inconsistent by sub-proof
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) all_54_15 = e1 | all_54_15 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8093) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) all_54_15 = e1
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (8094) are inconsistent by sub-proof
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_54_15 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8095) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) all_6_2 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8096) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) all_6_2 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (8097) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) ~ (all_52_12 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (8097) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) ~ (all_52_13 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (8097) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) ~ (all_52_14 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8097) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) op(e0, e0) = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) all_54_7 = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (7503), (8102) are inconsistent by
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) all_54_3 = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8104) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) all_52_12 = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8074), (8105) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) $false
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8106) is inconsistent.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8107) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) all_54_3 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8108) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) all_52_12 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8109) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) $false
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8110) is inconsistent.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_54_3 = e1 | all_54_3 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8103) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) all_54_7 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8112) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_52_13 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8113) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) all_52_13 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8114) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) ~ (all_52_1 = e2)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8114) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) ~ (all_52_14 = e2)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8116) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) ~ (all_52_14 = e2)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8111) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) all_54_3 = e1
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8118) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) all_52_12 = e1
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8119) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) ~ (all_52_14 = e1)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8120) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) ~ (all_52_14 = e1)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_54_4 = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (8122) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) all_52_1 = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7498), (8123) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) $false
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8124) is inconsistent.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) ~ (all_54_4 = e3)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8126) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) all_54_4 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (8127) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) all_52_1 = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8115), (8128) imply:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) $false
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8129) is inconsistent.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) ~ (all_54_4 = e2)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) all_54_4 = e1 | all_54_4 = e0
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8132) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8133) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8133) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8134) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8134) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8135) op(e2, e3) = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (7498), (8056), (8131), (8135),
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1082.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8136) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8136) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) op(e3, e1) = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8042), (8137), (function-axioms) are
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8138) gives:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8139) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) op(e3, e0) = e3
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (168), (193), (265), (8100), (8117),
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121), (8140), (function-axioms) are inconsistent
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1080.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8141) implies:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) op(e2, e3) = e2
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (8056), (8115), (8126), (8142),
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8143) gives:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8144) gives:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8145) implies:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) op(e2, e1) = e2
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (7996), (8043), (8051), (8146),
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8147) implies:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) ~ (all_57_6 = e1)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) op(e2, all_57_20) = all_57_6
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8037), (8055), (8148), (8149), (function-axioms)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #340.
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8150) gives:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8151) implies:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) op(e3, e1) = e1
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8057), (8152), (function-axioms) are
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8153) gives:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8154) implies:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) all_57_23 = e1
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8084), (8155) imply:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) $false
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8156) is inconsistent.
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8157) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (286), (7995), (8057), (8061), (8101),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121), (8158), (function-axioms) are inconsistent
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #252.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) all_54_3 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8159) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) all_52_12 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8098), (8160) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) $false
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8161) is inconsistent.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) all_54_7 = e1 | all_54_7 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (275), (8058), (8099), (8162),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #794.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (8044), (8058), (8066),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163), (function-axioms) are inconsistent by
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (7514), (8070), (8164) are
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) all_54_2 = e1 | all_54_2 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (7995), (8057), (8165) are inconsistent by
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1324.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) all_54_6 = e0
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (7996), (8166) are inconsistent by
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | End of split
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | (8167) all_18_2 = e1
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | COMBINE_EQS: (342), (8167) imply:
% 178.90/27.17 | | | | | | | | | | (8168) all_4_2 = e1
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | REDUCE: (357), (8168) imply:
% 178.90/27.17 | | | | | | | | | | (8169) ~ (all_52_4 = e1)
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | REDUCE: (359), (8168) imply:
% 178.90/27.17 | | | | | | | | | | (8170) ~ (all_52_8 = e1)
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | REDUCE: (36), (8168) imply:
% 178.90/27.17 | | | | | | | | | | (8171) op(e3, e3) = e1
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | BETA: splitting (7497) gives:
% 178.90/27.17 | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | (8172) ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 178.90/27.17 | | | | | | | | | | | $i(all_10_0)
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | REF_CLOSE: (8171), (8172), (function-axioms) are inconsistent
% 178.90/27.17 | | | | | | | | | | | by sub-proof #251.
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | (8173) ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 178.90/27.17 | | | | | | | | | | | $i(all_10_1)
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | ALPHA: (8173) implies:
% 178.90/27.17 | | | | | | | | | | | (8174) ~ (all_10_1 = e0)
% 178.90/27.17 | | | | | | | | | | | (8175) op(e3, e2) = all_10_1
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | BETA: splitting (249) gives:
% 178.90/27.17 | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | (8176) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17 | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8171), (8176),
% 178.90/27.17 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.17 | | | | | | | | | | | | #250.
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | (8177) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17 | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 178.90/27.17 | | | | | | | | | | | | op(e3, e2) = all_57_16 & $i(all_57_16))
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | BETA: splitting (8177) gives:
% 178.90/27.17 | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | (8178) all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | ALPHA: (8178) implies:
% 178.90/27.17 | | | | | | | | | | | | | (8179) op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8179), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | (8180) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17 | | | | | | | | | | | | | (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.90/27.17 | | | | | | | | | | | | | $i(all_57_16))
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | BETA: splitting (8180) gives:
% 178.90/27.17 | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | (8181) all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | ALPHA: (8181) implies:
% 178.90/27.17 | | | | | | | | | | | | | | (8182) op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8182), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | (8183) ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.90/27.17 | | | | | | | | | | | | | | $i(all_57_16)
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | ALPHA: (8183) implies:
% 178.90/27.17 | | | | | | | | | | | | | | (8184) op(e3, e2) = all_57_16
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 178.90/27.17 | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | (8185) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17 | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8171), (8185),
% 178.90/27.17 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.17 | | | | | | | | | | | | | | | #250.
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | (8186) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 178.90/27.17 | | | | | | | | | | | | | | | op(e0, e2) = all_57_26 & $i(all_57_26))
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | BETA: splitting (8186) gives:
% 178.90/27.17 | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | (8187) all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | ALPHA: (8187) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | (8188) op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8188), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | (8189) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17 | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.90/27.17 | | | | | | | | | | | | | | | | $i(all_57_26))
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | BETA: splitting (8189) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | (8190) all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | ALPHA: (8190) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | (8191) op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8191), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | (8192) ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | $i(all_57_26)
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | ALPHA: (8192) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | (8193) ~ (all_57_26 = e0)
% 178.90/27.17 | | | | | | | | | | | | | | | | | (8194) op(e0, e2) = all_57_26
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | (8195) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8171), (8195),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.17 | | | | | | | | | | | | | | | | | | #250.
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | (8196) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | BETA: splitting (8196) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | (8197) all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | ALPHA: (8197) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | (8198) op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8198), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | (8199) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (8199) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | (8200) all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (8200) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | (8201) op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8201), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | (8202) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (8202) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | (8203) ~ (all_57_29 = e2)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | (8204) op(e2, e2) = all_57_29
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | (8205) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8171), (8203), (8204), (8205),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | #779.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | (8206) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8206) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | (8207) all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8207) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | (8208) op(e1, e1) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8208), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | (8209) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8209) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8210) all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8210) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8211) op(e0, e0) = e2
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8211), (function-axioms) are
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8212) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8212) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8213) ~ (all_57_23 = e1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8214) op(e1, e2) = all_57_23
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e2, e0, simplifying with (158), (8194)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8215) all_57_26 = all_52_7
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (162), (8214)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8216) all_57_23 = all_52_6
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e2, e2, simplifying with (7509), (8204)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8217) all_57_29 = e3
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (170), (8184)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8218) all_57_16 = all_52_4
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (8175), (8184)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8219) all_57_16 = all_10_1
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8218), (8219) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8220) all_52_4 = all_10_1
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8220) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8221) all_52_4 = all_10_1
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (8221) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8222) all_54_1 = all_10_1
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8213), (8216) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8223) ~ (all_52_6 = e1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8193), (8215) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8224) ~ (all_52_7 = e0)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8221) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8225) ~ (all_52_6 = all_10_1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8225) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8226) ~ (all_52_6 = all_10_1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8221) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8227) ~ (all_52_7 = all_10_1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8227) implies:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8228) ~ (all_52_7 = all_10_1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7499), (8221) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8229) ~ (all_10_1 = e3)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8169), (8221) imply:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | (8230) ~ (all_10_1 = e1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (8231) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (7509), (8171), (8231),
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (8232) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8232) gives:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8233) all_56_7 = e1 & op(e1, e2) = e1
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8233) implies:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8234) op(e1, e2) = e1
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8223), (8234), (function-axioms) are
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #834.
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_56_13 = e1 & op(e0, e2) = e1
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8235) implies:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_56_13 = e1
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (8237) op(e0, e2) = e1
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8238) gives:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) all_56_1 = e0 & op(e3, e2) = e0
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) all_56_1 = e0
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8241) gives:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) all_56_1 = e2 & op(e3, e2) = e2
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8240), (8242) are inconsistent by sub-proof
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1247.
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8243) implies:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) op(e2, e2) = e2
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8203), (8204), (8244), (function-axioms) are
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1043.
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.17/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8245) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_56_7 = e2 & op(e1, e2) = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8246) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) op(e1, e2) = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) all_54_1 = e3
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8222), (8229), (8248) are inconsistent by
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8249) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) all_54_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8222), (8250) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_10_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8251) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) all_10_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8226), (8252) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) ~ (all_52_6 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8247), (8253), (function-axioms) are
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) all_54_1 = e1 | all_54_1 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8174), (8222), (8230), (8254) are inconsistent by
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8255) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) op(e0, e2) = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8237), (8256), (function-axioms) are
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8257) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) op(e2, e2) = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8258), (function-axioms) are
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8259) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_56_7 = e0 & op(e1, e2) = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8260) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) all_56_7 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8262) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_56_1 = e2 & op(e3, e2) = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8263) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_56_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_54_1 = e3
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8222), (8229), (8265) are inconsistent by
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) ~ (all_54_1 = e3)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8267) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) all_54_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8222), (8268) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_10_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8269) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_10_1 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8219), (8270) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) all_57_16 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8226), (8270) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) ~ (all_52_6 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8228), (8270) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) ~ (all_52_7 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8229), (8270) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) ~ (e3 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_54_13 = e3
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7501), (8275) are inconsistent by
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8276) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) all_54_13 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8273), (8277) are inconsistent by
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) ~ (all_54_13 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) all_54_13 = e1 | all_54_13 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8279) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) all_54_13 = e1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (8280) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) all_52_7 = e1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8281) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) all_52_7 = e1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8215), (8282) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) all_57_26 = e1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8282) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) ~ (all_6_2 = e1)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) all_54_9 = e3
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8285) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) all_52_6 = e3
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7500), (8286) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) $false
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8287) is inconsistent.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) ~ (all_54_9 = e3)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8289) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) all_54_9 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8290) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_52_6 = e2
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8272), (8291) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) $false
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8292) is inconsistent.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) ~ (all_54_9 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_54_9 = e1 | all_54_9 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8294) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) all_54_9 = e1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8295) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_52_6 = e1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8223), (8296) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) $false
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8297) is inconsistent.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_54_9 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8298) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) all_52_6 = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) ~ (all_52_2 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) ~ (all_52_14 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8301) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) ~ (all_52_14 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) ~ (all_14_2 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8303) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8304) ~ (all_14_2 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7500), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305) ~ (e3 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8272), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8306) ~ (e2 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8223), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307) ~ (e1 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (8299) imply:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8308) op(e1, e2) = e0
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8309) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8309) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8310) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8310) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8311) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8311) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312) op(e2, e3) = e3
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7498), (8312), (function-axioms) are
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #286.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8313) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8314) ~ (all_57_28 = e1)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315) op(e3, e3) = all_57_28
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8171), (8314), (8315), (function-axioms) are
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1030.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8316) gives:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8317) implies:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318) ~ (all_57_1 = e2)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319) op(e3, all_57_16) = all_57_1
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8184), (8271), (8318), (8319), (function-axioms)
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #355.
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8320) implies:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8321) ~ (all_57_29 = e3)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8217), (8321) imply:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8322) $false
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8322) is inconsistent.
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8323) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8323) gives:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8324) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (8272), (8273), (8324),
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1612.
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8325) gives:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8326) implies:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327) op(e3, e1) = e1
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8170), (8327), (function-axioms) are
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8328) gives:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8329) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8329) implies:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330) op(e1, e2) = e1
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8308), (8330), (function-axioms) are
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #863.
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8331) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8331) implies:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8332) op(e0, e1) = all_57_27
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8333) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334) all_54_10 = e3
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (7512), (8334) are inconsistent by
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1621.
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8335) ~ (all_54_10 = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8336) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8336) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8337) all_54_10 = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (7510), (8337) are inconsistent by
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1620.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8338) ~ (all_54_10 = e2)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8339) all_54_10 = e1 | all_54_10 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8339) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340) all_54_10 = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (8340) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8341) all_14_2 = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8341) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8342) all_14_2 = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (8342) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8343) ~ (all_52_2 = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (8342) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8344) ~ (all_52_11 = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (8342) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8345) ~ (all_52_14 = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7512), (8342) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346) ~ (e3 = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7510), (8342) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8347) ~ (e2 = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8342) imply:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8348) op(e1, e1) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8349) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8349) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8350) all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (8171), (8264), (8350),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #685.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8351) all_56_10 = e1 & op(e2, e0) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8351) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8352) all_56_10 = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8353) op(e2, e0) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8354) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8354) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8355) all_56_9 = e2 & op(e3, e0) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8355) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8356) all_56_9 = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8333) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8357) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8357) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8358) op(e1, e0) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8345), (8358), (function-axioms) are
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8359) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8359) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8360) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8360) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8361) all_57_31 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8333), (8345), (8361), (function-axioms)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1583.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8362) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8363) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (8264), (8363),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #247.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8364) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8364) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8365) all_56_4 = e0 & op(e3, e1) = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8366) op(e3, e1) = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8367) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (165), (169), (7502), (8366), (8367),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1448.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8368) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8368) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) all_56_8 = e3 & op(e1, e1) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8369) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8370) op(e1, e1) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8348), (8370), (function-axioms) are
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8371) all_56_14 = e3 & op(e0, e1) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8371) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372) all_56_14 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8373) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8373) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8374) all_56_12 = e2 & op(e0, e3) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8374) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375) all_56_12 = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8376) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8376) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8377) all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8377) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8378) op(e3, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8171), (8378), (function-axioms) are
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379) all_56_2 = e3 & op(e2, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8379) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8380) op(e2, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (163), (229), (386), (8300),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375), (8380), (function-axioms) are inconsistent
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #246.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8381) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8381) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8382) all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8382) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8383) all_56_6 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8384) op(e1, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8385) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8385) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8386) all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8386) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387) op(e3, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (386), (8375), (8383), (8384), (8387),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1220.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8388) all_56_1 = e3 & op(e3, e2) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8388) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8389) all_56_1 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (162), (227), (7509), (8236), (8272),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8389), (function-axioms) are inconsistent by
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #615.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8390) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8390) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8391) all_56_4 = e3 & op(e3, e1) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8391) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8392) op(e3, e1) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (8366), (8392), (function-axioms) are
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1577.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8393) all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8393) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8394) op(e3, e0) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (160), (8194), (8224), (8302), (8362),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8394), (function-axioms) are inconsistent by
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8395) all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (387), (389), (8344),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8395), (function-axioms) are inconsistent
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #261.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8396) all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8396) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8397) op(e0, e2) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8273), (8397), (function-axioms) are
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8398) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (8372), (8398),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1510.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8399) all_56_9 = e0 & op(e3, e0) = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8356), (8399) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1574.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8400) all_56_10 = e2 & op(e2, e0) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8400) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8401) all_56_10 = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8349) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8402) all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (8171), (8264), (8402),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #685.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (8171), (8264), (8351),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8401), (function-axioms) are inconsistent by
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #680.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8403) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (8345), (8403),
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1488.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8404) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8404) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8405) all_56_11 = e2 & op(e1, e0) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8405) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8406) all_56_11 = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8407) op(e1, e0) = e2
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8408) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8408) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8409) all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8409) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8410) all_56_6 = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8411) op(e1, e3) = e3
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8333) gives:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8412) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8412) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413) op(e1, e0) = e1
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8345), (8413), (function-axioms) are
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8414) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8414) implies:
% 179.17/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8415) ~ (all_57_13 = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8416) op(e0, e0) = all_57_31
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8417) op(e0, e3) = all_57_25
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8418) op(e0, all_57_26) = all_57_13
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8283), (8418) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420) op(e0, e1) = all_57_13
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (8416)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8421) all_57_31 = all_6_2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13, e1, e0, simplifying with (157), (8420)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8422) all_57_13 = all_52_11
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_27,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13, e1, e0, simplifying with (8332), (8420)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8423) all_57_13 = all_57_27
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (8417)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424) all_57_25 = all_52_3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (8407) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8425) all_52_14 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (8411) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8426) all_52_2 = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (8353) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8427) all_52_13 = e1
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8422), (8423) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8428) all_57_27 = all_52_11
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8415), (8422) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8429) ~ (all_52_11 = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8427) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8430) ~ (all_52_1 = e1)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (8425) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8431) ~ (all_6_2 = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8432) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_56_4 = e2 & op(e3, e1) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8433) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) all_56_4 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (8264), (8435),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1104.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_56_4 = e0 & op(e3, e1) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8434), (8437) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1190.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) all_56_9 = e0 & op(e3, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8438) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) all_56_9 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) op(e3, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (160), (210), (387), (8345),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439), (8440), (8441), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1088.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8442) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8442) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8443) all_56_11 = e3 & op(e1, e0) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8443) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444) all_56_11 = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8406), (8444) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8445) e3 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8445) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) e3 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8410), (8446) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) all_56_6 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8261), (8348), (8406),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447), (function-axioms) are inconsistent by
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8448) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) op(e0, e0) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8450) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) all_56_4 = e3 & op(e3, e1) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8451) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8452) all_56_4 = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8434), (8452) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8453) e3 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8453) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8454) e3 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8410), (8454) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455) all_56_6 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8261), (8348), (8406),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455), (function-axioms) are inconsistent by
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456) all_56_5 = e3 & op(e2, e1) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8456) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8457) op(e2, e1) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7502), (8457), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8458) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) all_56_8 = e3 & op(e1, e1) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8459) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) op(e1, e1) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8348), (8460), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) all_56_14 = e3 & op(e0, e1) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8461) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) all_56_14 = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) all_56_15 = e0 & op(e0, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8463) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) op(e0, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8449), (8464), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8465) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (387), (389), (8224), (8462), (8466),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1439.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8467) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) op(e2, e1) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) all_56_2 = e0 & op(e2, e3) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8470) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) op(e2, e3) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8171), (8471), (8472),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #622.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8473) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) all_56_6 = e2 & op(e1, e3) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8474) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) all_56_6 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8261), (8348), (8406),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475), (function-axioms) are inconsistent by
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1452.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_56_12 = e2 & op(e0, e3) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) op(e0, e3) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8477) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) all_52_3 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8468) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_52_9 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8471) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_52_1 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8424), (8478) imply:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) all_57_25 = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8419) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_57_31 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8333), (8345), (8482), (function-axioms)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1583.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8483) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8481), (8484) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8485) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8283), (8486) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8487) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) op(e1, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (8223), (8294), (8488),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1046.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8489) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) op(e2, e2) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8490), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8491) gives:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8492) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) op(e2, e1) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8468), (8493), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) all_56_10 = e0 & op(e2, e0) = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8352), (8494) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (213),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (8343), (8406), (8429), (8495),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #244.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) all_56_7 = e3 & op(e1, e2) = e3
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7500), (8496), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (8348), (8406), (8497),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1493.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) all_56_15 = e2 & op(e0, e0) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8498) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) op(e0, e0) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8499), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (8345), (8500),
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1488.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_54_10 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (8304), (8501) are inconsistent by
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1618.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) all_54_13 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8224), (8502) are inconsistent by
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) all_54_1 = e1 | all_54_1 = e0
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8174), (8222), (8230), (8503) are inconsistent by
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8504) implies:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) op(e2, e2) = e2
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8203), (8204), (8505), (function-axioms) are
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1043.
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8506) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) all_56_7 = e2 & op(e1, e2) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8507) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) all_56_7 = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8261), (8508) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) e2 = e0
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (8509) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) $false
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8510) is inconsistent.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) op(e0, e2) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8237), (8512), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) all_56_13 = e0 & op(e0, e2) = e0
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8513) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) op(e0, e2) = e0
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8224), (8514), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1463.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | (8515) all_16_2 = e3
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | COMBINE_EQS: (338), (8515) imply:
% 179.17/27.22 | | | | | | | | | (8516) all_14_2 = e3
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | SIMP: (8516) implies:
% 179.17/27.22 | | | | | | | | | (8517) all_14_2 = e3
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | COMBINE_EQS: (337), (8517) imply:
% 179.17/27.22 | | | | | | | | | (8518) all_24_2 = e3
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | REDUCE: (363), (8517) imply:
% 179.17/27.22 | | | | | | | | | (8519) ~ (all_52_2 = e3)
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | REDUCE: (376), (8517) imply:
% 179.17/27.22 | | | | | | | | | (8520) ~ (all_52_8 = e3)
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | REDUCE: (381), (8517) imply:
% 179.17/27.22 | | | | | | | | | (8521) ~ (all_52_14 = e3)
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | REDUCE: (51), (8517) imply:
% 179.17/27.22 | | | | | | | | | (8522) op(e1, e1) = e3
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | BETA: splitting (238) gives:
% 179.17/27.22 | | | | | | | | |
% 179.17/27.22 | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | (8523) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.17/27.22 | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (8523),
% 179.17/27.22 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.22 | | | | | | | | | | #285.
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | (8524) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 179.17/27.22 | | | | | | | | | | all_57_31 & $i(all_57_31))
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | BETA: splitting (8524) gives:
% 179.17/27.22 | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | (8525) all_57_30 = e0 & op(e1, e1) = e0
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | ALPHA: (8525) implies:
% 179.17/27.22 | | | | | | | | | | | (8526) op(e1, e1) = e0
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | REF_CLOSE: (7), (8522), (8526), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | inconsistent by sub-proof #1252.
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | (8527) op(e0, e0) = all_57_31 & $i(all_57_31)
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | ALPHA: (8527) implies:
% 179.17/27.22 | | | | | | | | | | | (8528) op(e0, e0) = all_57_31
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 179.17/27.22 | | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (8528)
% 179.17/27.22 | | | | | | | | | | | gives:
% 179.17/27.22 | | | | | | | | | | | (8529) all_57_31 = all_6_2
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | BETA: splitting (58) gives:
% 179.17/27.22 | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | (8530) ~ (all_18_2 = e1)
% 179.17/27.22 | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | REDUCE: (342), (8530) imply:
% 179.17/27.22 | | | | | | | | | | | | (8531) ~ (all_4_2 = e1)
% 179.17/27.22 | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | BETA: splitting (245) gives:
% 179.17/27.22 | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | (8532) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22 | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8532),
% 179.17/27.22 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.22 | | | | | | | | | | | | | #253.
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | (8533) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22 | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 179.17/27.22 | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | BETA: splitting (8533) gives:
% 179.17/27.22 | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | (8534) all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | ALPHA: (8534) implies:
% 179.17/27.22 | | | | | | | | | | | | | | (8535) op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8535), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | (8536) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22 | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.17/27.22 | | | | | | | | | | | | | | $i(all_57_17))
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | BETA: splitting (8536) gives:
% 179.17/27.22 | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | (8537) all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | ALPHA: (8537) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | (8538) op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8538), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | (8539) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.17/27.22 | | | | | | | | | | | | | | | $i(all_57_17)
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | ALPHA: (8539) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | (8540) ~ (all_57_17 = e3)
% 179.17/27.22 | | | | | | | | | | | | | | | (8541) op(e3, e1) = all_57_17
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.17/27.22 | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | (8542) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22 | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8542),
% 179.17/27.22 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.22 | | | | | | | | | | | | | | | | #253.
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | (8543) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 179.17/27.22 | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | BETA: splitting (8543) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | (8544) all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | ALPHA: (8544) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | (8545) op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8545), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | (8546) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22 | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | $i(all_57_27))
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | BETA: splitting (8546) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | (8547) all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | ALPHA: (8547) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | (8548) op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8548), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | (8549) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | ALPHA: (8549) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | (8550) ~ (all_57_27 = e0)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | (8551) op(e0, e1) = all_57_27
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | (8552) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8552),
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | #253.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | (8553) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (8553) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | (8554) all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (8554) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | (8555) op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8555), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | (8556) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8556) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | (8557) all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8557) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | (8558) op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8558), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | (8559) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8559) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | (8560) ~ (all_57_20 = e2)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | (8561) op(e2, e1) = all_57_20
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | (8562) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8562),
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | #253.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | (8563) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8563) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | (8564) all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8564) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | (8565) op(e1, e1) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8565), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | (8566) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8566) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8567) all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8567) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8568) op(e0, e0) = e1
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8568), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8569) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8569) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8570) ~ (all_57_30 = e1)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8571) op(e1, e1) = all_57_30
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (8551)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8572) all_57_27 = all_52_11
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (8522), (8571)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8573) all_57_30 = e3
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (8561)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8574) all_57_20 = all_52_9
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (8541)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8575) all_57_17 = all_52_8
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8560), (8574) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8576) ~ (all_52_9 = e2)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8550), (8572) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | (8577) ~ (all_52_11 = e0)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8578) ~ (all_24_2 = e3)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8518), (8578) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8579) $false
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8579) is inconsistent.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | (8580) ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (8581) ~ (all_30_2 = e2)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (8581) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (8582) ~ (all_4_2 = e2)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8583) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8583) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584) all_57_28 = e2 & op(e3, e3) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8584) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8585) op(e3, e3) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (8531), (8582), (8585),
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1350.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8586) all_57_29 = e2 & op(e2, e2) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8586) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) op(e2, e2) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8587), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_26 & $i(all_57_26))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8588) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8589) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) op(e1, e1) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8590), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8591) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8592) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) op(e0, e0) = e2
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8593), (function-axioms) are
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8594) implies:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) ~ (all_57_26 = e0)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) op(e0, e2) = all_57_26
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) all_54_0 = e3
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (8597) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) all_4_2 = e3
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (8598) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) ~ (all_52_12 = e3)
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8598) imply:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) op(e3, e3) = e3
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8601) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8602) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) all_56_12 = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) op(e0, e3) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8605) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8606) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) op(e3, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8599), (8607), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) all_56_10 = e3 & op(e2, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8608) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) all_56_10 = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8600), (8610), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8611) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8612) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) op(e1, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8613), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8614) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8615) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) op(e0, e0) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8616), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8617) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) ~ (all_57_29 = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) op(e2, e2) = all_57_29
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8620) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) all_56_2 = e2 & op(e2, e3) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8621) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) all_56_2 = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) op(e2, e3) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (159), (229),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (386), (8600), (8603), (8604), (8622),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623), (function-axioms) are inconsistent by
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8624) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) op(e2, e2) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8618), (8619), (8625), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1043.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8561), (8576), (8609), (8626),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1326.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8627) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) all_56_11 = e3 & op(e1, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8521), (8628), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #804.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8629) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) op(e0, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (387), (389), (8603), (8604),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630), (function-axioms) are inconsistent by
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) all_56_13 = e3 & op(e0, e2) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8631) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) all_56_13 = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8633) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8634) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_56_0 = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8636) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8637) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) op(e3, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8599), (8638), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) all_56_10 = e3 & op(e2, e0) = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8639) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) all_56_10 = e3
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8600), (8641), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8642) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8643) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) op(e1, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8644), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8645) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8646) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) op(e0, e0) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8647), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8648) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) ~ (all_57_29 = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) op(e2, e2) = all_57_29
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8651) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) all_56_2 = e2 & op(e2, e3) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8652) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) all_56_2 = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) op(e2, e3) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8655) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_56_2 = e1 & op(e2, e3) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8656) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) all_56_2 = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8653), (8657) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_56_3 = e1 & op(e2, e2) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8658) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) op(e2, e2) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7509), (8659), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) all_56_5 = e1 & op(e2, e1) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8661) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) all_56_5 = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) op(e2, e1) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8664) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) all_56_4 = e0 & op(e3, e1) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8665) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) all_56_4 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8667) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) all_56_4 = e2 & op(e3, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8666), (8668) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8669) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) op(e2, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8670), (function-axioms)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1327.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8671) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) all_56_8 = e2 & op(e1, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8672) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) op(e1, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8673), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8674) all_56_14 = e2 & op(e0, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8674) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) op(e0, e1) = e2
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8676) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) all_56_12 = e1 & op(e0, e3) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8677) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) all_56_12 = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) op(e0, e3) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (8654), (8680),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1181.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8681) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_56_6 = e0 & op(e1, e3) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8682) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) all_56_6 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8684) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8684) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8685) all_56_2 = e0 & op(e2, e3) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8685) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8686) op(e2, e3) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8654), (8686), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8687) all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8687) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688) op(e2, e2) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8688), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8689) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8689) gives:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8690) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_56_5 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8662), (8691) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) all_56_10 = e0 & op(e2, e0) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8692) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) all_56_10 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8640), (8693) imply:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) e3 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8694) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) e3 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7508), (8695) imply:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_56_3 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8635), (8695) imply:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) all_56_0 = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (235), (8640), (8653),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663), (8678), (8683), (8696), (8697),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) all_56_12 = e0 & op(e0, e3) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8698) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) op(e0, e3) = e0
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8679), (8699), (function-axioms) are
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) all_56_13 = e1 & op(e0, e2) = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8700) implies:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) all_56_13 = e1
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8632), (8701) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (8675), (8702),
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8703) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) all_56_5 = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8662), (8704) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (8522), (8551), (8577), (8705),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #872.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) all_56_10 = e1 & op(e2, e0) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8706) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) all_56_10 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8640), (8707) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8708) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) op(e2, e2) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8649), (8650), (8709), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1043.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8561), (8576), (8640), (8710),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1326.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8711) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) all_56_11 = e3 & op(e1, e0) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8521), (8712), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #804.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (39), (158), (162), (165), (167),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (239), (240), (246), (248), (254),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383), (386), (389), (7498), (7509), (8520),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522), (8529), (8561), (8572), (8573), (8576),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577), (8595), (8596), (8600), (8713),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #239.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_56_2 = e3 & op(e2, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8714) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) op(e2, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7498), (8715), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #286.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8716) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8717) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) op(e1, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8519), (8718), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8719) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_56_12 = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) op(e0, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (387), (389), (8632), (8720),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721), (function-axioms) are inconsistent by
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #999.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8722) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_56_14 = e3 & op(e0, e1) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8723) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) all_56_14 = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (8522), (8551), (8561), (8570),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8571), (8576), (8577), (8724), (function-axioms)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #238.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (39), (158), (162), (165), (167),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (239), (240), (246), (248), (254),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383), (386), (389), (7498), (7509), (8520),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522), (8529), (8561), (8572), (8573), (8576),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577), (8595), (8596), (8600), (8725),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #239.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (8531), (8582), (8726) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_30_2 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (8727) imply:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) all_4_2 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8728) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_4_2 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (8729) imply:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) ~ (all_52_4 = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8729) imply:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) op(e3, e3) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7498), (8731), (8732),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | #265.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8733) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8734) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) op(e1, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8519), (8735), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8736) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_56_12 = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) op(e0, e3) = e3
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8739) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_56_2 = e2 & op(e2, e3) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8740) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) all_56_2 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (229),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (386), (8731), (8738), (8741),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #237.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8742) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) op(e2, e2) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8743), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8744) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8745) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) op(e2, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8746), (function-axioms)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1327.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_56_10 = e2 & op(e2, e0) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8747) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) all_56_10 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) op(e2, e0) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8580) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_0)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8731), (8750), (function-axioms) are inconsistent
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #850.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8751) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) ~ (all_24_1 = e0)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) op(e3, e1) = all_24_1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8754) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) all_56_4 = e2 & op(e3, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8755) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) all_56_4 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8757) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) all_56_0 = e1 & op(e3, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8758) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) op(e3, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8731), (8759), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) all_56_1 = e1 & op(e3, e2) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (8520), (8731), (8752), (8753), (8760),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #844.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8761) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) all_56_4 = e1 & op(e3, e1) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8756), (8762) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (8520), (8731), (8752), (8753), (8763),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #848.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8764) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) op(e2, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8765), (function-axioms)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1327.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8766) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767) all_56_8 = e2 & op(e1, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8767) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8768) op(e1, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8768), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769) all_56_14 = e2 & op(e0, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8769) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8770) all_56_14 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8771) op(e0, e1) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8772) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8772) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773) all_56_12 = e1 & op(e0, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8773) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774) op(e0, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (8738), (8774), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) all_56_13 = e1 & op(e0, e2) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8775) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) all_56_13 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) op(e0, e2) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) all_56_15 = e0 & op(e0, e0) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8778) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) op(e0, e0) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8780) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386), (8520), (8731), (8752), (8753), (8781),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #848.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) all_56_10 = e1 & op(e2, e0) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8782) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) all_56_10 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8748), (8783) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1064.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8784) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) all_56_11 = e1 & op(e1, e0) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8785) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) all_56_11 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) op(e1, e0) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7509), (8730), (8788),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #274.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8789) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) all_56_7 = e2 & op(e1, e2) = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8790) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) all_56_7 = e2
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8792) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) all_56_6 = e0 & op(e1, e3) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8793) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) all_56_6 = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) op(e1, e3) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8796) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) all_56_0 = e1 & op(e3, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8797) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) op(e3, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8731), (8798), (function-axioms) are
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) all_56_2 = e1 & op(e2, e3) = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8799) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) all_56_2 = e1
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_56_2 = e0 & op(e2, e3) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8802) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) all_56_2 = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (36), (159), (231), (8531), (8738),
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794), (8803), (function-axioms) are inconsistent
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1520.
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8804) implies:
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) op(e2, e2) = e0
% 179.17/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8805), (function-axioms) are
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8806) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8807) implies:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) all_56_5 = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) op(e2, e1) = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8810) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) all_56_4 = e1 & op(e3, e1) = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8811) implies:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) op(e3, e1) = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e0,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (39), (8779) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) all_6_2 = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (8771) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) all_52_11 = e2
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8777) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) all_52_7 = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8738) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) all_52_3 = e3
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (8787) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) all_52_14 = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (8795) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) all_52_2 = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (8749) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) all_52_13 = e2
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8809) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) all_52_9 = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8812) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) all_52_8 = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_1, e1, e3, simplifying with (169), (8753)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) all_52_8 = all_24_1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8821), (8822) imply:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) all_24_1 = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8529), (8813) imply:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) all_57_31 = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8574), (8820) imply:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) all_57_20 = e0
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8575), (8821) imply:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) all_57_17 = e1
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8521), (8817) imply:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) ~ (e3 = e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (8813) imply:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) ~ (e1 = e0)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8829) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (7498), (8520), (8830),
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8730), (8826), (8831), (function-axioms)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #846.
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8832) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8833) gives:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8834) implies:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) op(e2, e1) = e2
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8835), (function-axioms)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1327.
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8836) implies:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) op(e0, e2) = e2
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8777), (8837), (function-axioms) are
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8838) gives:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8839) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) op(e1, e3) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8795), (8840), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8841) gives:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8842) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_57_20 = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8825), (8843) imply:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) e1 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8844) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) e1 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8800), (8845) imply:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) all_56_2 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (36), (159), (231), (8531), (8738),
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794), (8846), (function-axioms) are inconsistent
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1520.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8847) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8551), (8771), (8824), (8848),
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #861.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) all_56_5 = e1 & op(e2, e1) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8849) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) all_56_5 = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8808), (8850) imply:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) e1 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8851) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) e1 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8800), (8852) imply:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_56_2 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (36), (159), (231), (8531), (8738),
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794), (8853), (function-axioms) are inconsistent
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1520.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (8771),
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786), (8794), (8854), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #822.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) all_56_10 = e0 & op(e2, e0) = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8748), (8855) are inconsistent by sub-proof
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #821.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8856) gives:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_56_6 = e1 & op(e1, e3) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8857) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) op(e1, e3) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8795), (8858), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_56_12 = e1 & op(e0, e3) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8859) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) op(e0, e3) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (8738), (8860), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) all_56_7 = e0 & op(e1, e2) = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8791), (8861) are inconsistent by sub-proof
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #270.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8862) gives:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) all_56_8 = e0 & op(e1, e1) = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8863) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) op(e1, e1) = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8522), (8864), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_56_11 = e0 & op(e1, e0) = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8865) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) all_56_11 = e0
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8786), (8866) are inconsistent by sub-proof
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8776), (8867) are inconsistent by sub-proof
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1513.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_56_15 = e1 & op(e0, e0) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8868) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) op(e0, e0) = e1
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8869), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8870) implies:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8737), (8770), (8776), (8871) are
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #852.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (8771), (8872),
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | (8873) all_18_2 = e1
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | COMBINE_EQS: (342), (8873) imply:
% 179.17/27.26 | | | | | | | | | | | | (8874) all_4_2 = e1
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | REDUCE: (357), (8874) imply:
% 179.17/27.26 | | | | | | | | | | | | (8875) ~ (all_52_4 = e1)
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | REDUCE: (359), (8874) imply:
% 179.17/27.26 | | | | | | | | | | | | (8876) ~ (all_52_8 = e1)
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | REDUCE: (361), (8874) imply:
% 179.17/27.26 | | | | | | | | | | | | (8877) ~ (all_52_12 = e1)
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | REDUCE: (36), (8874) imply:
% 179.17/27.26 | | | | | | | | | | | | (8878) op(e3, e3) = e1
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.26 | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | Case 1:
% 179.17/27.26 | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | (8879) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.26 | | | | | | | | | | | | | & op(e2, e3) = e3)
% 179.17/27.26 | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | BETA: splitting (8879) gives:
% 179.17/27.26 | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | Case 1:
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | (8880) all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | ALPHA: (8880) implies:
% 179.17/27.26 | | | | | | | | | | | | | | (8881) op(e3, e3) = e3
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | REF_CLOSE: (8), (8878), (8881), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | (8882) all_56_2 = e3 & op(e2, e3) = e3
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | ALPHA: (8882) implies:
% 179.17/27.26 | | | | | | | | | | | | | | (8883) op(e2, e3) = e3
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | | REF_CLOSE: (167), (7498), (8883), (function-axioms) are
% 179.17/27.26 | | | | | | | | | | | | | | inconsistent by sub-proof #286.
% 179.17/27.26 | | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | | End of split
% 179.17/27.26 | | | | | | | | | | | | |
% 179.17/27.26 | | | | | | | | | | | | Case 2:
% 179.17/27.26 | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | (8884) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.27 | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 179.17/27.27 | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | BETA: splitting (8884) gives:
% 179.17/27.27 | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | (8885) all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | ALPHA: (8885) implies:
% 179.17/27.27 | | | | | | | | | | | | | | (8886) op(e1, e3) = e3
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | REF_CLOSE: (163), (8519), (8886), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | (8887) all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | ALPHA: (8887) implies:
% 179.17/27.27 | | | | | | | | | | | | | | (8888) all_56_12 = e3
% 179.17/27.27 | | | | | | | | | | | | | | (8889) op(e0, e3) = e3
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.17/27.27 | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | (8890) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 179.17/27.27 | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 179.17/27.27 | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7499), (8878), (8890),
% 179.17/27.27 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.27 | | | | | | | | | | | | | | | #802.
% 179.17/27.27 | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | (8891) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 179.17/27.27 | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 179.17/27.27 | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | BETA: splitting (8891) gives:
% 179.17/27.27 | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | (8892) all_56_4 = e3 & op(e3, e1) = e3
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | ALPHA: (8892) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | (8893) op(e3, e1) = e3
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8520), (8893), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | (8894) all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | ALPHA: (8894) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | (8895) all_56_9 = e3
% 179.17/27.27 | | | | | | | | | | | | | | | | (8896) op(e3, e0) = e3
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | (8897) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.27 | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8878), (8897),
% 179.17/27.27 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.27 | | | | | | | | | | | | | | | | | #250.
% 179.17/27.27 | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | (8898) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 179.17/27.27 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_16 & $i(all_57_16))
% 179.17/27.27 | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | BETA: splitting (8898) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | (8899) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | ALPHA: (8899) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | (8900) op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8900), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | (8901) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27 | | | | | | | | | | | | | | | | | | (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | $i(all_57_16))
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | (8902) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | ALPHA: (8902) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | (8903) op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8903), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | (8904) ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | (8905) op(e3, e2) = all_57_16
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | (8906) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8878), (8906),
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | #250.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | (8907) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_26 & $i(all_57_26))
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8907) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | (8908) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8908) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | (8909) op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8909), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | (8910) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8910) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | (8911) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8911) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | (8912) op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8912), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | (8913) ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8913) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | (8914) op(e0, e2) = all_57_26
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | (8915) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8878), (8915),
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | #250.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | (8916) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_29 & $i(all_57_29))
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8916) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8917) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (8918) op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8918), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (8919) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29))
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8919) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (8920) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8920) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (8921) op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8921), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (8922) ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8922) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (8923) ~ (all_57_29 = e2)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (8924) op(e2, e2) = all_57_29
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e2) = e2)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8878), (8923), (8924), (8925),
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | #779.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & $i(all_57_23))
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8926) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8927) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) op(e1, e1) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8928), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23))
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8929) gives:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8930) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) op(e0, e0) = e2
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8931), (function-axioms) are
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8932) implies:
% 179.17/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) ~ (all_57_23 = e1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) op(e1, e2) = all_57_23
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7497) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8935) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) ~ (all_10_0 = e1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) op(e3, e3) = all_10_0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_0,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (8878), (8937) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) all_10_0 = e1
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8936), (8938) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) $false
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8939) is inconsistent.
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8940) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) ~ (all_10_1 = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) op(e3, e2) = all_10_1
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e2, e0, simplifying with (158), (8914)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) all_57_26 = all_52_7
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8889) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) all_52_3 = e3
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e2, e1, simplifying with (162), (8934)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) all_57_23 = all_52_6
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e2, e2, simplifying with (7509), (8924)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) all_57_29 = e3
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (8896) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) all_52_12 = e3
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (170), (8905)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) all_57_16 = all_52_4
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e2, e3, simplifying with (8905), (8942)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) all_57_16 = all_10_1
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8948), (8949) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) all_52_4 = all_10_1
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8950) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) all_52_4 = all_10_1
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (8951) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) all_54_1 = all_10_1
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8933), (8945) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) ~ (all_52_6 = e1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8944) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) ~ (all_52_7 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8944) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) ~ (all_52_11 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8955) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) ~ (all_52_11 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8951) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) ~ (all_52_6 = all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8957) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) ~ (all_52_6 = all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8951) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) ~ (all_52_7 = all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8959) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) ~ (all_52_7 = all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8951) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) ~ (all_52_8 = all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8961) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) ~ (all_52_8 = all_10_1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7499), (8951) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) ~ (all_10_1 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8875), (8951) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) ~ (all_10_1 = e1)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8947) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) ~ (all_52_13 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (8947) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) ~ (all_6_2 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8966) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) ~ (all_6_2 = e3)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (8968),
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #285.
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8969) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) all_57_30 = e0 & op(e1, e1) = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8970) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8971) op(e1, e1) = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8522), (8971), (function-axioms) are
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8972) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8972) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8973) all_57_31 = e0 & op(e0, e0) = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8973) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974) all_57_31 = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8529), (8974) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8975) all_6_2 = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8975) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8976) all_6_2 = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8976) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8977) ~ (all_52_7 = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (8976) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978) ~ (all_52_13 = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8967), (8976) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8979) ~ (e3 = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (8976) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8980) ~ (e2 = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (8976) imply:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8981) ~ (e1 = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8982) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983) all_56_1 = e0 & op(e3, e2) = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8983) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8984) all_56_1 = e0
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8985) gives:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) all_56_0 = e2 & op(e3, e3) = e2
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8986) implies:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) op(e3, e3) = e2
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8878), (8987), (function-axioms) are
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) all_56_1 = e2 & op(e3, e2) = e2
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8984), (8988) are inconsistent by sub-proof
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1247.
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8989) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) all_56_4 = e2 & op(e3, e1) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8990) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) all_56_4 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) all_54_1 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (8992) are inconsistent by
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) ~ (all_54_1 = e3)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8994) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_54_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (8995) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) all_10_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8996) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) all_10_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8960), (8997) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) ~ (all_52_7 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8963), (8997) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) ~ (e3 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8942), (8997) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) op(e3, e2) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (135), (158), (170), (8889), (9000), (9001),
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9002) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) all_56_14 = e2 & op(e0, e1) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9003) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) all_56_14 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9005) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) all_56_4 = e1 & op(e3, e1) = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9006) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) op(e3, e1) = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8876), (9007), (function-axioms) are
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) all_56_5 = e1 & op(e2, e1) = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9008) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) all_56_5 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9010) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) all_56_4 = e0 & op(e3, e1) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8991), (9011) are inconsistent by sub-proof
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1190.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) all_56_5 = e0 & op(e2, e1) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9009), (9012) are inconsistent by sub-proof
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #883.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9013) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) all_56_8 = e0 & op(e1, e1) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9014) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) op(e1, e1) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8522), (9015), (function-axioms) are
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) all_56_14 = e0 & op(e0, e1) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9004), (9016) are inconsistent by sub-proof
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1443.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (158), (208), (389), (8522),
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888), (8998), (9017), (function-axioms) are
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #818.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) all_56_15 = e2 & op(e0, e0) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9018) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) op(e0, e0) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (9019), (function-axioms) are
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) all_54_1 = e1 | all_54_1 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8941), (8952), (8964), (9020) are inconsistent by
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) all_56_9 = e2 & op(e3, e0) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8895), (9021) are inconsistent by sub-proof
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #777.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) all_56_3 = e0 & op(e2, e2) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9022) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) op(e2, e2) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (9023), (function-axioms) are
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9024) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) all_56_7 = e0 & op(e1, e2) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9025) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) op(e1, e2) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) all_54_1 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (9027) are inconsistent by
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9028) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) all_54_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (9029) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) all_10_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9030) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) all_10_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8949), (9031) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) all_57_16 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8960), (9031) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) ~ (all_52_7 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8962), (9031) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) ~ (all_52_8 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8942), (9031) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) op(e3, e2) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) all_54_2 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9036) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_52_8 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8520), (9037) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9038) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) ~ (all_54_2 = e3)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9040) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) all_54_2 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9041) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) all_52_8 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9034), (9042) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9043) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) all_54_2 = e1 | all_54_2 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9044) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) all_54_2 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9045) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) all_52_8 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (9046) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9047) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) all_54_2 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9048) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) all_52_8 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9049) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) ~ (all_52_9 = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9050) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) ~ (all_52_9 = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9049) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) ~ (all_52_11 = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9052) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) ~ (all_52_11 = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_54_13 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7501), (9054) are inconsistent by
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9055) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) all_54_13 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9033), (9056) are inconsistent by
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) all_54_13 = e1 | all_54_13 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9057) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) all_54_13 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (9058) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) all_52_7 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9059) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) all_52_7 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9060) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) ~ (all_52_11 = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9061) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) ~ (all_52_11 = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) all_54_14 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (8956), (9063) are inconsistent by
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1259.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9064) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) all_54_14 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9065) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) all_52_11 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9066) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) all_52_11 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9067) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) ~ (all_52_9 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (9067) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) op(e0, e1) = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_54_6 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9070) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) all_52_9 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7502), (9071) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9072) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9073) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) all_54_6 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9074) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) all_52_9 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9068), (9075) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9076) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) ~ (all_54_6 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) all_54_6 = e1 | all_54_6 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9078) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) all_54_6 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9079) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) all_52_9 = e1
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9080) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) ~ (all_52_1 = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9080) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) ~ (all_52_13 = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9082) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) ~ (all_52_13 = e1)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) all_54_7 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9084) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) all_52_13 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7503), (9085) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9086) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9087) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) all_54_7 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9088) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) all_52_13 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9089) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) all_52_13 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9090) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) ~ (all_52_1 = e2)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_54_4 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (9092) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_52_1 = e3
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7498), (9093) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9094) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) ~ (all_54_4 = e3)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9096) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) all_54_4 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (9097) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) all_52_1 = e2
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9091), (9098) imply:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) $false
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9099) is inconsistent.
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) all_54_4 = e1 | all_54_4 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9101) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) all_56_2 = e0 & op(e2, e3) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9102) implies:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) op(e2, e3) = e0
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9104) gives:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (284), (286), (7498), (8520),
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876), (9044), (9081), (9100), (9105),
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9106) gives:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9107) implies:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) ~ (all_57_1 = e2)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) op(e3, all_57_16) = all_57_1
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8905), (9032), (9108), (9109), (function-axioms)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #355.
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9110) implies:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) op(e2, e3) = e2
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9103), (9111), (function-axioms) are
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9112) gives:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9113) gives:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9114) implies:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) op(e2, e1) = e2
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (9051), (9068), (9078), (9115),
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9116) implies:
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) op(e0, e2) = e2
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (9035), (9117),
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (8876), (8974), (9026), (9069),
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118), (function-axioms) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #235.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) all_56_3 = e0 & op(e2, e2) = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9119) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) op(e2, e2) = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (9120), (function-axioms) are
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8978), (9051), (9121),
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1195.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) all_54_7 = e1 | all_54_7 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (8978), (9083), (9122) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #945.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) all_54_6 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9123) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) all_52_9 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9051), (9124) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) $false
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9125) is inconsistent.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) all_54_14 = e1 | all_54_14 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9053), (9062), (9126) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1305.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_54_13 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8977), (9127) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_54_1 = e1 | all_54_1 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8941), (8952), (8964), (9128) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_56_13 = e0 & op(e0, e2) = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9129) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) op(e0, e2) = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8977), (9130), (function-axioms) are
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1463.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9131) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) ~ (all_57_18 = e3)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) all_54_15 = e3
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8967), (9133) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1608.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_54_1 = e3
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (9135) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) ~ (all_54_1 = e3)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9137) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_54_1 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (9138) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) all_10_1 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9139) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) all_10_1 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8958), (9140) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) ~ (all_52_6 = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8962), (9140) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) ~ (all_52_8 = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8963), (9140) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) ~ (e3 = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8942), (9140) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) op(e3, e2) = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9134) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) all_54_15 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (9145) are inconsistent by sub-proof
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1607.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) ~ (all_54_15 = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_54_15 = e1 | all_54_15 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9147) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) all_54_15 = e1
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (9148) are inconsistent by sub-proof
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1606.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_54_15 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9149) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_6_2 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9150) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_6_2 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8529), (9151) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) all_57_31 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) all_54_2 = e3
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (8520), (9153) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) ~ (all_54_2 = e3)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) all_54_9 = e3
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (7500), (9156) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9157) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) all_54_9 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9141), (9158) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) ~ (all_54_9 = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) all_54_9 = e1 | all_54_9 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (135), (158), (170), (8889), (9144), (9161),
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9162) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) all_56_14 = e2 & op(e0, e1) = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9163) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) op(e0, e1) = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) all_54_9 = e1
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (8953), (9165) are inconsistent by
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) all_54_9 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (9166) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) all_52_6 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9167) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) all_52_6 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8953), (9168) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) ~ (e1 = e0)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (9168) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) op(e1, e2) = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9155) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) all_54_2 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9171) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_52_8 = e2
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9142), (9172) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) $false
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9173) is inconsistent.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_54_2 = e1 | all_54_2 = e0
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9175) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (169), (170), (201), (285), (286),
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520), (8876), (8896), (9174), (9176),
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #234.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9177) gives:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9178) implies:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_57_18 = e3
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9132), (9179) imply:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) $false
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9180) is inconsistent.
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9181) implies:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) ~ (all_57_29 = e3)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8946), (9182) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) $false
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9183) is inconsistent.
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9184) gives:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (162), (170), (9141), (9144),
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185), (function-axioms) are inconsistent by
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #354.
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (8876), (9152), (9164), (9170),
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186), (function-axioms) are inconsistent by
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #235.
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) all_56_15 = e2 & op(e0, e0) = e2
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9187) implies:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) op(e0, e0) = e2
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (9188), (function-axioms) are
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1511.
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) all_54_1 = e1 | all_54_1 = e0
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8941), (8952), (8964), (9189) are inconsistent by
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #248.
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | End of split
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | End of split
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | (9190) all_14_2 = e2
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | COMBINE_EQS: (347), (9190) imply:
% 179.45/27.31 | | | | | | | | (9191) all_42_2 = e2
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | REDUCE: (374), (9190) imply:
% 179.45/27.31 | | | | | | | | (9192) ~ (all_52_6 = e2)
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | REDUCE: (376), (9190) imply:
% 179.45/27.31 | | | | | | | | (9193) ~ (all_52_8 = e2)
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | REDUCE: (377), (9190) imply:
% 179.45/27.31 | | | | | | | | (9194) ~ (all_52_9 = e2)
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | REDUCE: (379), (9190) imply:
% 179.45/27.31 | | | | | | | | (9195) ~ (all_52_11 = e2)
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | REDUCE: (381), (9190) imply:
% 179.45/27.31 | | | | | | | | (9196) ~ (all_52_14 = e2)
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | REDUCE: (51), (9190) imply:
% 179.45/27.31 | | | | | | | | (9197) op(e1, e1) = e2
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | BETA: splitting (94) gives:
% 179.45/27.31 | | | | | | | |
% 179.45/27.31 | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | | (9198) ~ (all_42_2 = e2)
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | | REDUCE: (9191), (9198) imply:
% 179.45/27.31 | | | | | | | | | (9199) $false
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | | CLOSE: (9199) is inconsistent.
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | | (9200) ( ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 179.45/27.31 | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e2, e1) =
% 179.45/27.31 | | | | | | | | | all_42_1 & $i(all_42_1))
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | | BETA: splitting (238) gives:
% 179.45/27.31 | | | | | | | | |
% 179.45/27.31 | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | (9201) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.45/27.31 | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (9201),
% 179.45/27.31 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.31 | | | | | | | | | | #285.
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | (9202) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 179.45/27.31 | | | | | | | | | | all_57_31 & $i(all_57_31))
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | BETA: splitting (9202) gives:
% 179.45/27.31 | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | (9203) all_57_30 = e0 & op(e1, e1) = e0
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | ALPHA: (9203) implies:
% 179.45/27.31 | | | | | | | | | | | (9204) op(e1, e1) = e0
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | REF_CLOSE: (5), (9197), (9204), (function-axioms) are
% 179.45/27.31 | | | | | | | | | | | inconsistent by sub-proof #1230.
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | (9205) op(e0, e0) = all_57_31 & $i(all_57_31)
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | ALPHA: (9205) implies:
% 179.45/27.31 | | | | | | | | | | | (9206) op(e0, e0) = all_57_31
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | BETA: splitting (9200) gives:
% 179.45/27.31 | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | (9207) ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 179.45/27.31 | | | | | | | | | | | | $i(all_42_0)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REF_CLOSE: (7509), (9207), (function-axioms) are inconsistent
% 179.45/27.31 | | | | | | | | | | | | by sub-proof #233.
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | (9208) ~ (all_42_1 = e0) & op(e2, e1) = all_42_1 &
% 179.45/27.31 | | | | | | | | | | | | $i(all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | ALPHA: (9208) implies:
% 179.45/27.31 | | | | | | | | | | | | (9209) ~ (all_42_1 = e0)
% 179.45/27.31 | | | | | | | | | | | | (9210) op(e2, e1) = all_42_1
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 179.45/27.31 | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (39), (9206)
% 179.45/27.31 | | | | | | | | | | | | gives:
% 179.45/27.31 | | | | | | | | | | | | (9211) all_57_31 = all_6_2
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 179.45/27.31 | | | | | | | | | | | | all_42_1, e1, e2, simplifying with (165), (9210)
% 179.45/27.31 | | | | | | | | | | | | gives:
% 179.45/27.31 | | | | | | | | | | | | (9212) all_52_9 = all_42_1
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | COMBINE_EQS: (276), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9213) all_54_6 = all_42_1
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REDUCE: (146), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9214) ~ (all_52_1 = all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REDUCE: (123), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9215) ~ (all_52_8 = all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REDUCE: (118), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9216) ~ (all_52_11 = all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | SIMP: (9216) implies:
% 179.45/27.31 | | | | | | | | | | | | (9217) ~ (all_52_11 = all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REDUCE: (117), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9218) ~ (all_52_13 = all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | SIMP: (9218) implies:
% 179.45/27.31 | | | | | | | | | | | | (9219) ~ (all_52_13 = all_42_1)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REDUCE: (7502), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9220) ~ (all_42_1 = e3)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | REDUCE: (9194), (9212) imply:
% 179.45/27.31 | | | | | | | | | | | | (9221) ~ (all_42_1 = e2)
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.45/27.31 | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | (9222) all_54_6 = e3
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | COMBINE_EQS: (9213), (9222) imply:
% 179.45/27.31 | | | | | | | | | | | | | (9223) all_42_1 = e3
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | SIMP: (9223) implies:
% 179.45/27.31 | | | | | | | | | | | | | (9224) all_42_1 = e3
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | REDUCE: (9220), (9224) imply:
% 179.45/27.31 | | | | | | | | | | | | | (9225) $false
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | CLOSE: (9225) is inconsistent.
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | (9226) ~ (all_54_6 = e3)
% 179.45/27.31 | | | | | | | | | | | | | (9227) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | BETA: splitting (9227) gives:
% 179.45/27.31 | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | (9228) all_54_6 = e2
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | COMBINE_EQS: (9213), (9228) imply:
% 179.45/27.31 | | | | | | | | | | | | | | (9229) all_42_1 = e2
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | SIMP: (9229) implies:
% 179.45/27.31 | | | | | | | | | | | | | | (9230) all_42_1 = e2
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | REDUCE: (9221), (9230) imply:
% 179.45/27.31 | | | | | | | | | | | | | | (9231) $false
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | CLOSE: (9231) is inconsistent.
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | Case 2:
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | (9232) ~ (all_54_6 = e2)
% 179.45/27.31 | | | | | | | | | | | | | | (9233) all_54_6 = e1 | all_54_6 = e0
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | BETA: splitting (9233) gives:
% 179.45/27.31 | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | (9234) all_54_6 = e1
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | COMBINE_EQS: (9213), (9234) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9235) all_42_1 = e1
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | SIMP: (9235) implies:
% 179.45/27.31 | | | | | | | | | | | | | | | (9236) all_42_1 = e1
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | REDUCE: (9214), (9236) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9237) ~ (all_52_1 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | REDUCE: (9215), (9236) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9238) ~ (all_52_8 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | REDUCE: (9217), (9236) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9239) ~ (all_52_11 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | REDUCE: (9219), (9236) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9240) ~ (all_52_13 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | REDUCE: (9220), (9236) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9241) ~ (e3 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | REDUCE: (9221), (9236) imply:
% 179.45/27.31 | | | | | | | | | | | | | | | (9242) ~ (e2 = e1)
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.45/27.31 | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | Case 1:
% 179.45/27.31 | | | | | | | | | | | | | | | |
% 179.45/27.31 | | | | | | | | | | | | | | | | (9243) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.45/27.31 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 179.45/27.31 | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7509), (9237), (9243),
% 179.45/27.32 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.32 | | | | | | | | | | | | | | | | #613.
% 179.45/27.32 | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | (9244) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.45/27.32 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | BETA: splitting (9244) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | (9245) all_56_5 = e1 & op(e2, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | ALPHA: (9245) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | (9246) all_56_5 = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | (9247) op(e2, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | (9248) ~ (all_18_2 = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | REDUCE: (342), (9248) imply:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | (9249) ~ (all_4_2 = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | (9250) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9250),
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | #253.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | (9251) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 179.45/27.32 | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (9251) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | (9252) all_57_30 = e1 & op(e1, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | ALPHA: (9252) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | (9253) op(e1, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9253), (function-axioms) are
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | (9254) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9254) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | (9255) all_57_31 = e1 & op(e0, e0) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9255) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | (9256) op(e0, e0) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9256), (function-axioms) are
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | (9257) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9257) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | (9258) ~ (all_57_17 = e3)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | (9259) op(e3, e1) = all_57_17
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | (9260) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9260),
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | #253.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | (9261) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9261) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | (9262) all_57_30 = e1 & op(e1, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9262) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | (9263) op(e1, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9263), (function-axioms) are
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | (9264) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9264) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_57_31 = e1 & op(e0, e0) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9265) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (9266) op(e0, e0) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9266), (function-axioms) are
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (9267) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9267) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (9268) op(e2, e1) = all_57_20
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (9269) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9269),
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | #253.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (9270) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9270) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) all_57_30 = e1 & op(e1, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9271) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) op(e1, e1) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9272), (function-axioms) are
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9273) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) all_57_31 = e1 & op(e0, e0) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) op(e0, e0) = e1
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9275), (function-axioms) are
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9276) implies:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) ~ (all_57_27 = e0)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) op(e0, e1) = all_57_27
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9279),
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #253.
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.45/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9280) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) all_57_30 = e1 & op(e1, e1) = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9281) implies:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) op(e1, e1) = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9282), (function-axioms) are
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9283) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) all_57_31 = e1 & op(e0, e0) = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9284) implies:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) op(e0, e0) = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9285), (function-axioms) are
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9286) implies:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) ~ (all_57_30 = e1)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) op(e1, e1) = all_57_30
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (9278)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_57_27 = all_52_11
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (9197), (9288)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_57_30 = e2
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (9247), (9268)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) all_57_20 = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (9259)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) all_57_17 = all_52_8
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9258), (9292) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) ~ (all_52_8 = e3)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9277), (9289) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) ~ (all_52_11 = e0)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) all_54_2 = e3
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9295) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_52_8 = e3
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9293), (9296) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) $false
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9297) is inconsistent.
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_54_14 = e3
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9299) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) all_52_11 = e3
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9300) implies:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_52_11 = e3
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9289), (9301) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) all_57_27 = e3
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (9301) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) ~ (all_6_2 = e3)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9303) implies:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) ~ (all_6_2 = e3)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9298) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) all_54_2 = e2
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9305) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_52_8 = e2
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9306) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) $false
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9307) is inconsistent.
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) ~ (all_54_2 = e2)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) all_54_2 = e1 | all_54_2 = e0
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9309) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) all_54_2 = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9310) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) all_52_8 = e1
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9238), (9311) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) $false
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9312) is inconsistent.
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) all_54_2 = e0
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9313) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) all_52_8 = e0
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9293), (9314) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) ~ (e3 = e0)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9314) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) ~ (e2 = e0)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9238), (9314) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) ~ (e1 = e0)
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (9314) imply:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) op(e3, e1) = e0
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9319) gives:
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (286), (7498), (9238), (9293),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309), (9320), (function-axioms) are inconsistent
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #232.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9321) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9322) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) op(e0, e3) = e3
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9324) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) all_56_4 = e0 & op(e3, e1) = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9325) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) all_56_4 = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9327) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) all_56_12 = e1 & op(e0, e3) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9328) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) op(e0, e3) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (9323), (9329), (function-axioms) are
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) all_56_13 = e1 & op(e0, e2) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9330) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) op(e0, e2) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9332) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) all_56_1 = e2 & op(e3, e2) = e2
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9333) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) op(e3, e2) = e2
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (135), (158), (170), (9323), (9334), (9335),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (389), (9197), (9246), (9336),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #231.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) all_56_3 = e2 & op(e2, e2) = e2
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9337) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) op(e2, e2) = e2
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (9338), (function-axioms) are
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (9192), (9331), (9339),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #230.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9340) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) all_56_14 = e1 & op(e0, e1) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9341) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) all_56_14 = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (9197), (9247), (9326),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (function-axioms) are inconsistent by
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #906.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) all_56_15 = e1 & op(e0, e0) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) op(e0, e0) = e1
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9344), (function-axioms) are
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) all_56_5 = e0 & op(e2, e1) = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9345) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) all_56_5 = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9246), (9346) are inconsistent by sub-proof
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9347) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) all_56_8 = e0 & op(e1, e1) = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9348) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) op(e1, e1) = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9197), (9349), (function-axioms) are
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) all_56_14 = e0 & op(e0, e1) = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9350) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) all_56_14 = e0
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (9197), (9247),
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318), (9351), (function-axioms) are inconsistent
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #229.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9352) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353) ~ (all_57_6 = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9354) op(e2, all_57_20) = all_57_6
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9268), (9291), (9353), (9354), (function-axioms)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #340.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9355) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9356) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9356) gives:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9357) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9357) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9358) op(e2, e1) = e2
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9194), (9268), (9358), (function-axioms)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1327.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9359) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9359) implies:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9360) ~ (all_57_6 = e1)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9361) op(e2, all_57_20) = all_57_6
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9268), (9291), (9360), (9361), (function-axioms)
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #340.
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9362) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9362) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9363) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9363) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364) op(e3, e1) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9318), (9364), (function-axioms) are
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9365) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9366) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) ~ (all_57_30 = e2)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9197), (9288), (9367), (function-axioms) are
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9368) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9369) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9302), (9370) are inconsistent by sub-proof
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9371) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) ~ (all_57_15 = e0)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) op(e0, all_57_31) = all_57_15
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9211), (9373) imply:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) op(e0, all_6_2) = all_57_15
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (9304), (9372),
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374), (function-axioms) are inconsistent by
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1604.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9195), (9239), (9294), (9375) are
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1233.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | (9376) all_18_2 = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (9376) imply:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | (9377) all_4_2 = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | SIMP: (9377) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | (9378) all_4_2 = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (9378) imply:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | (9379) all_40_2 = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | REDUCE: (36), (9378) imply:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | (9380) op(e3, e3) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | (9381) ~ (all_40_2 = e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | REDUCE: (9379), (9381) imply:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | (9382) $false
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | CLOSE: (9382) is inconsistent.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | (9383) ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (9383) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | (9384) ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9197), (9384), (function-axioms) are inconsistent
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | by sub-proof #701.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | (9385) ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | ALPHA: (9385) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | (9386) ~ (all_40_1 = e0)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | (9387) op(e1, e3) = all_40_1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | (9388) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | (230), (234), (236), (386), (9240), (9380),
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | (9388), (function-axioms) are inconsistent by
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | sub-proof #1024.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | (9389) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9389) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | (9390) all_56_11 = e1 & op(e1, e0) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9390) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | (9391) all_56_11 = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | (9392) op(e1, e0) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | (9393) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9393) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (9394) all_56_6 = e3 & op(e1, e3) = e3
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9394) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (9395) all_56_6 = e3
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | (9396) op(e1, e3) = e3
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | (9397) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9397) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_56_12 = e1 & op(e0, e3) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (229), (233), (235), (386), (9197), (9379),
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (9380), (9398), (function-axioms) are inconsistent
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) all_56_13 = e1 & op(e0, e2) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9399) implies:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) all_56_13 = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) op(e0, e2) = e1
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9402) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_56_6 = e0 & op(e1, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9403) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) op(e1, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9386), (9387), (9404), (function-axioms)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #698.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) all_56_7 = e0 & op(e1, e2) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9405) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) op(e1, e2) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9407) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) all_56_12 = e2 & op(e0, e3) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9408) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_56_12 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) op(e0, e3) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9411) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_56_0 = e0 & op(e3, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9412) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) op(e3, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9413), (function-axioms) are
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) all_56_2 = e0 & op(e2, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9414) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) all_56_2 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) op(e2, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9417) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) all_56_1 = e2 & op(e3, e2) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9418) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_56_1 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) op(e3, e2) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9421) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_56_2 = e2 & op(e2, e3) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (163), (229), (386), (9386), (9387),
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409), (9422), (function-axioms) are inconsistent
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #691.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) all_56_3 = e2 & op(e2, e2) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9423) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) op(e2, e2) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (9424), (function-axioms) are
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9425) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) all_56_5 = e2 & op(e2, e1) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9426) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) op(e2, e1) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9247), (9427), (function-axioms) are
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) all_56_10 = e2 & op(e2, e0) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9428) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) all_56_10 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) op(e2, e0) = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7497) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9380), (9431), (function-axioms) are inconsistent
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #251.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9432) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) ~ (all_10_1 = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) op(e3, e2) = all_10_1
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9401) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) all_52_7 = e1
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (9410) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) all_52_3 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (9392) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) all_52_14 = e1
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (9406) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) all_52_6 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (9396) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) all_52_2 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e3, e1, simplifying with (163), (9387)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) all_52_2 = all_40_1
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (9430) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) all_52_13 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (9416) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) all_52_1 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (9420) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) all_52_4 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e2, e3, simplifying with (170), (9434)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) all_52_4 = all_10_1
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9439), (9440) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) all_40_1 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9445) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) all_40_1 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9443), (9444) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) all_10_1 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9447) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) all_10_1 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9443) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) ~ (all_52_8 = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9441) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) ~ (all_52_12 = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9437) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) ~ (all_52_12 = e1)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (9441) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) ~ (all_6_2 = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7503), (9441) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) ~ (e3 = e2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (9437) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) ~ (all_6_2 = e1)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9455) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) all_57_28 = e0 & op(e3, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9456) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) op(e3, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9457), (function-axioms) are
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) all_57_29 = e0 & op(e2, e2) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9458) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) op(e2, e2) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9247), (9415), (9429),
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459), (function-axioms) are inconsistent by
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9460) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9461) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) op(e1, e1) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (9192), (9391),
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395), (9462), (function-axioms) are inconsistent
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1228.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9463) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9464) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) all_57_31 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9211), (9465) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) all_6_2 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (9466) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) ~ (all_52_12 = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (9466) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) ~ (e2 = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (9466) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) ~ (e1 = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9466) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) op(e0, e0) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) all_54_3 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (9471) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) all_52_12 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9472) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) ~ (all_52_8 = e3)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (9472) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) op(e3, e0) = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9475) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) all_56_12 = e3 & op(e0, e3) = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9476) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) op(e0, e3) = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9410), (9477), (function-axioms) are
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1039.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) all_56_13 = e3 & op(e0, e2) = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9400), (9478) are inconsistent by sub-proof
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9479) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) all_56_14 = e3 & op(e0, e1) = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9480) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) all_56_14 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) all_54_2 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9482) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_52_8 = e3
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (9483) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) $false
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9484) is inconsistent.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) ~ (all_54_2 = e3)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9487) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) all_56_0 = e0 & op(e3, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9488) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) op(e3, e3) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9489), (function-axioms) are
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_56_1 = e0 & op(e3, e2) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9490) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) all_56_1 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9419), (9491) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) e2 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9409), (9492) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) all_56_12 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (9400), (9481),
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493), (function-axioms) are inconsistent by
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1509.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9494) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) all_56_4 = e0 & op(e3, e1) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9495) implies:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) op(e3, e1) = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9486) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) all_54_2 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9497) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) all_52_8 = e2
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9498) imply:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) $false
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9499) is inconsistent.
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) all_54_2 = e1 | all_54_2 = e0
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9501) gives:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9502) gives:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9503) implies:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) op(e2, e3) = e3
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9416), (9504), (function-axioms) are
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1596.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9505) implies:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) op(e3, e1) = e3
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (286), (9238), (9473), (9500), (9506),
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1478.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9410), (9416), (9507),
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1029.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9508) gives:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9509) gives:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9510) implies:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) op(e2, e1) = e2
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9247), (9511), (function-axioms) are
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9512) implies:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) op(e0, e2) = e2
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (9420), (9513),
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9514) gives:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9515) implies:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) op(e3, e1) = e1
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9496), (9516), (function-axioms) are
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9517) gives:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9518) implies:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) op(e1, e2) = e1
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9406), (9519), (function-axioms) are
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #863.
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9521) gives:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) ~ (all_57_8 = e3)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) op(e1, e3) = all_57_22
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) op(e1, all_57_22) = all_57_8
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9396), (9523), (9524), (9525), (function-axioms)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1026.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9465), (9526), (function-axioms) are inconsistent
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1584.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_56_9 = e0 & op(e3, e0) = e0
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9527) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) op(e3, e0) = e0
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9474), (9528), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1189.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_56_15 = e3 & op(e0, e0) = e3
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9529) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) op(e0, e0) = e3
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9470), (9530), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1540.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9450), (9451), (9467), (9531) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #826.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9532) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) ~ (all_57_21 = e2)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) op(e2, e0) = all_57_21
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9430), (9533), (9534), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) all_56_3 = e2 & op(e2, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9535) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) op(e2, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (9536), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9537) gives:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) all_56_7 = e2 & op(e1, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9538) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) op(e1, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9192), (9539), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) all_56_13 = e2 & op(e0, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9540) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) all_56_13 = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (387), (9409), (9541), (function-axioms)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1119.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (9386), (9387), (9409), (9542),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #694.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_56_13 = e2 & op(e0, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9543) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) op(e0, e2) = e2
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9401), (9544), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (389), (9197), (9246), (9545),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #231.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (215), (9192), (9391),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395), (9546), (function-axioms) are inconsistent
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #961.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (9547) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (9239), (9547),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | (9548) all_56_7 = e3 & op(e1, e2) = e3
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7500), (9548), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | (9549) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9197), (9391), (9549),
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | | #966.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | (9550) all_56_15 = e1 & op(e0, e0) = e1
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9550) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | (9551) op(e0, e0) = e1
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9551), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | (9552) all_56_10 = e1 & op(e2, e0) = e1
% 179.53/27.37 | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | ALPHA: (9552) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | | | (9553) op(e2, e0) = e1
% 179.53/27.37 | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9240), (9553), (function-axioms) are
% 179.53/27.37 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 179.53/27.37 | | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | (9554) all_54_6 = e0
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | COMBINE_EQS: (9213), (9554) imply:
% 179.53/27.37 | | | | | | | | | | | | | | | (9555) all_42_1 = e0
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | SIMP: (9555) implies:
% 179.53/27.37 | | | | | | | | | | | | | | | (9556) all_42_1 = e0
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | REDUCE: (9209), (9556) imply:
% 179.53/27.37 | | | | | | | | | | | | | | | (9557) $false
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | | CLOSE: (9557) is inconsistent.
% 179.53/27.37 | | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | End of split
% 179.53/27.37 | | | | | | | | |
% 179.53/27.37 | | | | | | | | End of split
% 179.53/27.37 | | | | | | | |
% 179.53/27.37 | | | | | | | End of split
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | End of split
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | Case 2:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | (9558) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 179.53/27.37 | | | | | | op(e2, e0) = e3)
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | BETA: splitting (9558) gives:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | Case 1:
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | (9559) all_56_5 = e3 & op(e2, e1) = e3
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | ALPHA: (9559) implies:
% 179.53/27.37 | | | | | | | (9560) op(e2, e1) = e3
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | REF_CLOSE: (165), (7502), (9560), (function-axioms) are
% 179.53/27.37 | | | | | | | inconsistent by sub-proof #1449.
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | Case 2:
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | (9561) all_56_10 = e3 & op(e2, e0) = e3
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | ALPHA: (9561) implies:
% 179.53/27.37 | | | | | | | (9562) op(e2, e0) = e3
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13, e3,
% 179.53/27.37 | | | | | | | e0, e2, simplifying with (164), (9562) gives:
% 179.53/27.37 | | | | | | | (9563) all_52_13 = e3
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | REDUCE: (7503), (9563) imply:
% 179.53/27.37 | | | | | | | (9564) $false
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | CLOSE: (9564) is inconsistent.
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | End of split
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | End of split
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | End of split
% 179.53/27.37 | | | |
% 179.53/27.37 | | | Case 2:
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | (9565) all_8_2 = e2
% 179.53/27.37 | | | | (9566) ( ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 & $i(all_8_0)) | ( ~
% 179.53/27.37 | | | | (all_8_1 = e1) & op(e2, e0) = all_8_1 & $i(all_8_1))
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | COMBINE_EQS: (340), (9565) imply:
% 179.53/27.37 | | | | (9567) all_6_2 = e2
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | SIMP: (9567) implies:
% 179.53/27.37 | | | | (9568) all_6_2 = e2
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | COMBINE_EQS: (325), (9568) imply:
% 179.53/27.37 | | | | (9569) all_22_2 = e2
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | REDUCE: (364), (9568) imply:
% 179.53/27.37 | | | | (9570) ~ (all_52_3 = e2)
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | REDUCE: (375), (9568) imply:
% 179.53/27.37 | | | | (9571) ~ (all_52_7 = e2)
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | REDUCE: (382), (9568) imply:
% 179.53/27.37 | | | | (9572) ~ (all_52_11 = e2)
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | REDUCE: (383), (9568) imply:
% 179.53/27.37 | | | | (9573) ~ (all_52_12 = e2)
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | REDUCE: (384), (9568) imply:
% 179.53/27.37 | | | | (9574) ~ (all_52_13 = e2)
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | REDUCE: (385), (9568) imply:
% 179.53/27.37 | | | | (9575) ~ (all_52_14 = e2)
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | BETA: splitting (211) gives:
% 179.53/27.37 | | | |
% 179.53/27.37 | | | | Case 1:
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | | (9576) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 179.53/27.37 | | | | | e0) = e2)
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | | BETA: splitting (9576) gives:
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | | Case 1:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | (9577) all_56_9 = e2 & op(e3, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | ALPHA: (9577) implies:
% 179.53/27.37 | | | | | | (9578) op(e3, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12, e2, e0,
% 179.53/27.37 | | | | | | e3, simplifying with (168), (9578) gives:
% 179.53/27.37 | | | | | | (9579) all_52_12 = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | REDUCE: (9573), (9579) imply:
% 179.53/27.37 | | | | | | (9580) $false
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | CLOSE: (9580) is inconsistent.
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | Case 2:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | (9581) all_56_10 = e2 & op(e2, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | ALPHA: (9581) implies:
% 179.53/27.37 | | | | | | (9582) op(e2, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | REF_CLOSE: (164), (9574), (9582), (function-axioms) are inconsistent
% 179.53/27.37 | | | | | | by sub-proof #1562.
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | End of split
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | Case 2:
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | | (9583) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 179.53/27.37 | | | | | op(e0, e0) = e2)
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | | BETA: splitting (9583) gives:
% 179.53/27.37 | | | | |
% 179.53/27.37 | | | | | Case 1:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | (9584) all_56_11 = e2 & op(e1, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | ALPHA: (9584) implies:
% 179.53/27.37 | | | | | | (9585) op(e1, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14, e2, e0,
% 179.53/27.37 | | | | | | e1, simplifying with (160), (9585) gives:
% 179.53/27.37 | | | | | | (9586) all_52_14 = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | REDUCE: (9575), (9586) imply:
% 179.53/27.37 | | | | | | (9587) $false
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | CLOSE: (9587) is inconsistent.
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | Case 2:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | (9588) all_56_15 = e2 & op(e0, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | ALPHA: (9588) implies:
% 179.53/27.37 | | | | | | (9589) all_56_15 = e2
% 179.53/27.37 | | | | | | (9590) op(e0, e0) = e2
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | BETA: splitting (46) gives:
% 179.53/27.37 | | | | | |
% 179.53/27.37 | | | | | | Case 1:
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | (9591) ~ (all_10_2 = e3)
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | BETA: splitting (49) gives:
% 179.53/27.37 | | | | | | |
% 179.53/27.37 | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | |
% 179.53/27.37 | | | | | | | | (9592) ~ (all_12_2 = e0)
% 179.53/27.37 | | | | | | | |
% 179.53/27.37 | | | | | | | | REDUCE: (335), (9592) imply:
% 179.53/27.37 | | | | | | | | (9593) ~ (all_10_2 = e0)
% 179.53/27.37 | | | | | | | |
% 179.53/27.37 | | | | | | | | BETA: splitting (52) gives:
% 179.53/27.37 | | | | | | | |
% 179.53/27.37 | | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | | |
% 179.53/27.37 | | | | | | | | | (9594) ~ (all_14_2 = e2)
% 179.53/27.37 | | | | | | | | |
% 179.53/27.37 | | | | | | | | | BETA: splitting (55) gives:
% 179.53/27.37 | | | | | | | | |
% 179.53/27.37 | | | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | (9595) ~ (all_16_2 = e3)
% 179.53/27.37 | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | REDUCE: (338), (9595) imply:
% 179.53/27.37 | | | | | | | | | | (9596) ~ (all_14_2 = e3)
% 179.53/27.37 | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | BETA: splitting (58) gives:
% 179.53/27.37 | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | (9597) ~ (all_18_2 = e1)
% 179.53/27.37 | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | REDUCE: (342), (9597) imply:
% 179.53/27.37 | | | | | | | | | | | (9598) ~ (all_4_2 = e1)
% 179.53/27.37 | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | BETA: splitting (64) gives:
% 179.53/27.37 | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | Case 1:
% 179.53/27.37 | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | (9599) ~ (all_22_2 = e2)
% 179.53/27.37 | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | REDUCE: (9569), (9599) imply:
% 179.53/27.37 | | | | | | | | | | | | (9600) $false
% 179.53/27.37 | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | | CLOSE: (9600) is inconsistent.
% 179.53/27.37 | | | | | | | | | | | |
% 179.53/27.37 | | | | | | | | | | | Case 2:
% 179.53/27.37 | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | (9601) ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 179.53/27.38 | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 179.53/27.38 | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 179.53/27.38 | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | BETA: splitting (70) gives:
% 179.53/27.38 | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | (9602) ~ (all_26_2 = e0)
% 179.53/27.38 | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | REDUCE: (318), (9602) imply:
% 179.53/27.38 | | | | | | | | | | | | | (9603) ~ (all_14_2 = e0)
% 179.53/27.38 | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 179.53/27.38 | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | (9604) all_54_10 = e3
% 179.53/27.38 | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | REF_CLOSE: (349), (9596), (9604) are inconsistent by
% 179.53/27.38 | | | | | | | | | | | | | | sub-proof #1621.
% 179.53/27.38 | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | (9605) ~ (all_54_10 = e3)
% 179.53/27.38 | | | | | | | | | | | | | | (9606) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 179.53/27.38 | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | BETA: splitting (9606) gives:
% 179.53/27.38 | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | (9607) all_54_10 = e2
% 179.53/27.38 | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | REF_CLOSE: (349), (9594), (9607) are inconsistent by
% 179.53/27.38 | | | | | | | | | | | | | | | sub-proof #1620.
% 179.53/27.38 | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | (9608) ~ (all_54_10 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | (9609) all_54_10 = e1 | all_54_10 = e0
% 179.53/27.38 | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 179.53/27.38 | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | (9610) all_54_10 = e1
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (9610) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9611) all_14_2 = e1
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | SIMP: (9611) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9612) all_14_2 = e1
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (363), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9613) ~ (all_52_2 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (374), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9614) ~ (all_52_6 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (376), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9615) ~ (all_52_8 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (377), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9616) ~ (all_52_9 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (379), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9617) ~ (all_52_11 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (9596), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9618) ~ (e3 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | REDUCE: (51), (9612) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | (9619) op(e1, e1) = e1
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | (9620) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.53/27.38 | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9620),
% 179.53/27.38 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.38 | | | | | | | | | | | | | | | | | #1622.
% 179.53/27.38 | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | (9621) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 179.53/27.38 | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 179.53/27.38 | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | BETA: splitting (9621) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | (9622) all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | ALPHA: (9622) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | (9623) op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9623), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | (9624) op(e0, e0) = all_57_31 & $i(all_57_31)
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | ALPHA: (9624) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | (9625) op(e0, e0) = all_57_31
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | (9626) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9626),
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | #1622.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | (9627) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (9627) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | (9628) all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | ALPHA: (9628) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | (9629) op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9629), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | (9630) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9630) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | (9631) all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9631) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | (9632) op(e0, e0) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9632), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | (9633) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9633) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | (9634) ~ (all_57_18 = e3)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | (9635) op(e3, e0) = all_57_18
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | (9636) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9636),
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | #1622.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | (9637) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9637) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | (9638) all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9638) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | (9639) op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9639), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | (9640) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9640) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9641) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (9642) op(e0, e0) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9642), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (9643) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9643) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (9644) ~ (all_57_21 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | (9645) op(e2, e0) = all_57_21
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (9646) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9646),
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | (9647) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9648) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) op(e1, e1) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9649), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9650) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9651) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) op(e0, e0) = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9652), (function-axioms) are
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9653) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) ~ (all_57_24 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) op(e1, e0) = all_57_24
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (9590), (9625)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) all_57_31 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e0, e1, simplifying with (160), (9655)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) all_57_24 = all_52_14
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e0, e2, simplifying with (164), (9645)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_57_21 = all_52_13
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (168), (9635)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) all_57_18 = all_52_12
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9634), (9659) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) ~ (all_52_12 = e3)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9654), (9657) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) ~ (all_52_14 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) ~ (all_28_2 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (9662) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) ~ (all_10_2 = e1)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_54_5 = e3
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9591), (9664) are inconsistent by
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1268.
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) ~ (all_54_5 = e3)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9666) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) all_54_5 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (9667) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) all_10_2 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9668) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) all_10_2 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (9669) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) ~ (all_52_4 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (9669) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) ~ (all_52_6 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (9669) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) ~ (all_52_9 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (9669) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) ~ (e3 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9669) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) op(e2, e2) = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9675) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) all_56_6 = e2 & op(e1, e3) = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9676) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) op(e1, e3) = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9678) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) all_56_4 = e2 & op(e3, e1) = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9679) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) op(e3, e1) = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (9677) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_52_2 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9680) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) all_52_8 = e2
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9681) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) ~ (all_52_6 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9681) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) ~ (all_52_14 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9682) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) ~ (all_52_9 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9682) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) ~ (all_52_11 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9682) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) ~ (all_52_12 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (9682) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) ~ (all_4_2 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9688) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) ~ (all_4_2 = e2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) all_54_0 = e3
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (9690) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) all_4_2 = e3
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9691) implies:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) all_4_2 = e3
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (9692) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) ~ (all_52_1 = e3)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (9692) imply:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) ~ (all_52_4 = e3)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9695) gives:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (9677), (9693), (9696),
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #227.
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (170), (9660), (9670), (9697),
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #839.
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (9672), (9699),
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #225.
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9700) gives:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9701) implies:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) op(e3, e1) = e1
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9615), (9702), (function-axioms) are
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9703) gives:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9704) implies:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) op(e2, e1) = e1
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9616), (9705), (function-axioms) are
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9706) implies:
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) op(e0, e1) = all_57_27
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.53/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9708) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9709) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) op(e1, e0) = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9654), (9655), (9710), (function-axioms) are
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) op(e0, e2) = all_57_26
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) op(e0, e3) = all_57_25
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) op(e0, all_57_31) = all_57_15
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9656), (9714) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) op(e0, e2) = all_57_15
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (9707)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) all_57_27 = all_52_11
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e2, e0, simplifying with (158), (9716)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_57_15 = all_52_7
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_26,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e2, e0, simplifying with (9712), (9716)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) all_57_15 = all_57_26
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (9713)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) all_57_25 = all_52_3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9718), (9719) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) all_57_26 = all_52_7
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_54_9 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (9722) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) all_52_6 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9723) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) all_52_6 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9724) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) ~ (all_52_14 = e3)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9725) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) ~ (all_52_14 = e3)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_54_11 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9726), (9727) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) ~ (all_54_11 = e3)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9730) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) all_56_9 = e3 & op(e3, e0) = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9731) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) op(e3, e0) = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9660), (9732), (function-axioms) are
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_56_10 = e3 & op(e2, e0) = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9733) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_56_10 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9729) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) all_54_11 = e2
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (9735) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_52_14 = e2
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (9736) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) $false
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9737) is inconsistent.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_54_11 = e1 | all_54_11 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9739) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) all_56_9 = e1 & op(e3, e0) = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9740) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) all_56_9 = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9738) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) all_54_11 = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9661), (9742) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1114.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) all_54_11 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (9743) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) all_52_14 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9744) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_52_14 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9745) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) ~ (all_52_12 = e0)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9745) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) ~ (all_52_13 = e0)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) all_54_3 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9660), (9748) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #809.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9749) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) all_54_3 = e2
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (9750) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #748.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_54_3 = e1 | all_54_3 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9751) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) all_54_3 = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (9752) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) all_52_12 = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9753) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_52_12 = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9754) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) ~ (all_52_13 = e1)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9755) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) ~ (all_52_13 = e1)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (9754) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) op(e3, e0) = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) all_54_7 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9758) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) all_52_13 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9759) implies:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) all_52_13 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9760) imply:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) ~ (all_52_9 = e3)
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) all_54_6 = e3
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (9761), (9762) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9763) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) all_54_6 = e2
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (9672), (9764) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1241.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) all_54_6 = e1 | all_54_6 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9765) gives:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) all_54_6 = e1
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (9616), (9766) are inconsistent by
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #940.
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) all_54_6 = e0
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.53/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9767) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) all_52_9 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9768) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) all_52_9 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9769) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) ~ (all_52_11 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9770) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) ~ (all_52_11 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9616), (9769) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) ~ (e1 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) all_54_14 = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9773) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_52_11 = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9717), (9774) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) all_57_27 = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9715) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) all_57_31 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9617), (9707), (9708), (9776),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (39), (51), (113), (160), (164),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (241), (285), (349), (386), (387), (9603),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609), (9661), (9708), (9741), (9746), (9747),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751), (9757), (9775), (9777), (function-axioms)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #223.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (9617), (9771), (9778) are
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1233.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (9747), (9756), (9779) are
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #944.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_54_3 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9746), (9780) are inconsistent by
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #828.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9781) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) all_56_10 = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9734), (9782) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (9783),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (9726), (9784),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) ~ (all_54_9 = e3)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (9785) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) ~ (all_52_6 = e3)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9786) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) all_54_9 = e2
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9671), (9788) are inconsistent by
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1323.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) all_54_9 = e1 | all_54_9 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9674), (9694), (9790),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9791) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) all_56_7 = e3 & op(e1, e2) = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9787), (9792), (function-axioms) are
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #990.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) all_56_13 = e3 & op(e0, e2) = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9793) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) all_56_13 = e3
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9795) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) all_56_12 = e1 & op(e0, e3) = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9796) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) op(e0, e3) = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9789) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) all_54_9 = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9614), (9798) are inconsistent by
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1322.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) all_54_9 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (9799) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) all_52_6 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9800) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) all_52_6 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9801) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) ~ (all_52_7 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9802) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) ~ (all_52_7 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9801) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) ~ (all_52_14 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9804) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) ~ (all_52_14 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9614), (9801) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) ~ (e1 = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9715) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) all_57_31 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9617), (9707), (9708), (9807),
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9808) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9809) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9809) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9810) all_57_25 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9720), (9810) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9811) all_52_3 = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (9811) imply:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9812) op(e0, e3) = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9797), (9812), (function-axioms) are
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9813) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9813) gives:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9814) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9721), (9803), (9814) are inconsistent by
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #240.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9815) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9815) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9816) op(e1, e0) = e0
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9805), (9816), (function-axioms) are
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9817) all_56_13 = e1 & op(e0, e2) = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9817) implies:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9818) all_56_13 = e1
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9794), (9818) are inconsistent by sub-proof
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (9617), (9819),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9820) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (9598), (9689), (9820) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9821) all_56_5 = e2 & op(e2, e1) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9821) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9822) op(e2, e1) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9672), (9822), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9823) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9572), (9619), (9823),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9824) all_56_7 = e2 & op(e1, e2) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9824) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9825) op(e1, e2) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9671), (9825), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9826) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9827) all_56_8 = e2 & op(e1, e1) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9827) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9828) op(e1, e1) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9619), (9828), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9829) all_56_11 = e2 & op(e1, e0) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9829) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9830) all_56_11 = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9831) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9831) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9832) all_56_4 = e2 & op(e3, e1) = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9832) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9833) all_56_4 = e2
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9834) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9834) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9835) all_56_9 = e3 & op(e3, e0) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9835) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836) op(e3, e0) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9660), (9836), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9837) all_56_10 = e3 & op(e2, e0) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9837) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838) all_56_10 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9839) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9839) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840) all_56_2 = e1 & op(e2, e3) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9840) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9841) all_56_2 = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9842) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9842) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9843) all_56_9 = e1 & op(e3, e0) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9843) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9844) all_56_9 = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9845) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9845) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9846) all_56_0 = e0 & op(e3, e3) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9846) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9847) op(e3, e3) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9847), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9848) all_56_1 = e0 & op(e3, e2) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9848) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9849) all_56_1 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9850) op(e3, e2) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9851) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9851) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9852) all_56_2 = e0 & op(e2, e3) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9852) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9853) all_56_2 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9841), (9853) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9854) e1 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9854) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9855) e1 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9844), (9855) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9856) all_56_9 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838), (9856), (function-axioms) are inconsistent
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1483.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9857) all_56_3 = e0 & op(e2, e2) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9857) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9858) op(e2, e2) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9674), (9858), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9859) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9859) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860) all_56_5 = e0 & op(e2, e1) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9860) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9861) all_56_5 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9862) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) all_56_4 = e3 & op(e3, e1) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9833), (9863) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1381.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9864) all_56_5 = e3 & op(e2, e1) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9861), (9864) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1332.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9865) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9865) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9866) all_56_8 = e3 & op(e1, e1) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9866) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867) op(e1, e1) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (9594), (9596), (9603), (9606),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867), (function-axioms) are inconsistent by
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1101.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9868) all_56_14 = e3 & op(e0, e1) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9868) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869) all_56_14 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9870) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9870) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9871) all_56_1 = e1 & op(e3, e2) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9871) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9872) all_56_1 = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9849), (9872) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873) e1 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9844), (9873) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874) all_56_9 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838), (9874), (function-axioms) are inconsistent
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1483.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875) all_56_3 = e1 & op(e2, e2) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9875) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9876) op(e2, e2) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9674), (9876), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9877) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9877) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878) all_56_7 = e1 & op(e1, e2) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9878) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9879) op(e1, e2) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9614), (9879), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #834.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9880) all_56_13 = e1 & op(e0, e2) = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9880) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881) all_56_13 = e1
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9882) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9882) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9883) all_56_0 = e3 & op(e3, e3) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9883) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884) op(e3, e3) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9885) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9886) all_56_1 = e3 & op(e3, e2) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9886) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887) all_56_1 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (232),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (386), (9598), (9833), (9844), (9884),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887), (function-axioms) are inconsistent by
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1124.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9888) all_56_3 = e3 & op(e2, e2) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9888) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9889) op(e2, e2) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9674), (9889), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1602.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9890) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9891) all_56_7 = e3 & op(e1, e2) = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9891) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9892) all_56_7 = e3
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9893) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9893) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894) all_56_6 = e0 & op(e1, e3) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9894) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895) all_56_6 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9896) op(e1, e3) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9897) all_56_15 = e0 & op(e0, e0) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9897) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9898) op(e0, e0) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9898), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9899) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9899) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9900) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9900) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) all_56_12 = e0 & op(e0, e3) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9901) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) all_56_12 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (9841),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895), (9896), (9902), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1361.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9903) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) all_56_13 = e0 & op(e0, e2) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9904) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) all_56_13 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9881), (9905) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) e1 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9841), (9906) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) all_56_2 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (162), (165), (222), (227),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616), (9671), (9838), (9849), (9881), (9907),
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1244.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) all_56_14 = e0 & op(e0, e1) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9908) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) all_56_14 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9869), (9909) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1470.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) all_56_7 = e0 & op(e1, e2) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) all_56_7 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9892), (9911) are inconsistent by sub-proof
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1464.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9912) gives:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) all_56_8 = e0 & op(e1, e1) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9913) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) op(e1, e1) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9914), (function-axioms) are
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) all_56_11 = e0 & op(e1, e0) = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9915) implies:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) all_56_11 = e0
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9830), (9916) imply:
% 179.73/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) e2 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9833), (9917) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) all_56_4 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (170), (234), (9670), (9844),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884), (9918), (function-axioms) are inconsistent
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #869.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) all_56_13 = e3 & op(e0, e2) = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9919) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) all_56_13 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9881), (9920) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9921) all_56_1 = e3 & op(e3, e2) = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9921) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9922) op(e3, e2) = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9850), (9922), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (9660), (9833), (9923),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924) all_56_10 = e0 & op(e2, e0) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9838), (9924) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9925) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9925) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9926) all_56_4 = e0 & op(e3, e1) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9833), (9926) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1190.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9927) all_56_9 = e0 & op(e3, e0) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9927) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928) all_56_9 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838), (9928), (function-axioms) are inconsistent
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1483.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929) all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9929) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930) all_56_10 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9838), (9930) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9931) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (9931),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9932) all_56_3 = e1 & op(e2, e2) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9932) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9933) op(e2, e2) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9674), (9933), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9934) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (9616), (9838), (9934),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1485.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9935) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (9830), (9935), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #216.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9936) all_56_5 = e2 & op(e2, e1) = e2
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9936) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9937) op(e2, e1) = e2
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9938) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9938) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9939) all_56_9 = e3 & op(e3, e0) = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9939) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940) op(e3, e0) = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9660), (9940), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) all_56_10 = e3 & op(e2, e0) = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9941) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942) all_56_10 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9943) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) all_56_2 = e0 & op(e2, e3) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9944) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) all_56_2 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9946) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) all_56_9 = e1 & op(e3, e0) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9947) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) all_56_9 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9949) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9950) all_56_2 = e1 & op(e2, e3) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9950) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951) all_56_2 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9945), (9951) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952) e1 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9948), (9952) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9953) all_56_9 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942), (9953), (function-axioms) are inconsistent
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1483.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954) all_56_3 = e1 & op(e2, e2) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9954) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9955) op(e2, e2) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9674), (9955), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9956) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9957) all_56_5 = e1 & op(e2, e1) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9957) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) op(e2, e1) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9937), (9958), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1148.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9959) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) all_56_10 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9942), (9960) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1489.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9942), (9961) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9962) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (9962),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963) all_56_3 = e0 & op(e2, e2) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9963) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) op(e2, e2) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9674), (9964), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9965) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) all_56_5 = e0 & op(e2, e1) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9966) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) op(e2, e1) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9937), (9967), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) all_56_10 = e0 & op(e2, e0) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9942), (9968) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #882.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (9830), (9969), (function-axioms) are
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #216.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (213),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (9572), (9613), (9830), (9970),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #244.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) all_54_5 = e1 | all_54_5 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (9663), (9971) are inconsistent by
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) all_28_2 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (9972) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) all_10_2 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9973) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) all_10_2 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (9974) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) ~ (all_52_7 = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (9974) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) ~ (all_52_13 = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9974) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) op(e2, e2) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9978) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) all_56_12 = e1 & op(e0, e3) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9979) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) op(e0, e3) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9601) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9977), (9981), (function-axioms) are inconsistent
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #215.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9982) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) ~ (all_22_1 = e3)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) op(e2, e0) = all_22_1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9985) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) all_56_9 = e1 & op(e3, e0) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9986) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) op(e3, e0) = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (9980) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) all_52_3 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1, e0, e2, simplifying with (164), (9984)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) all_52_13 = all_22_1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (9987) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) all_52_12 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9989) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) all_54_7 = all_22_1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9658), (9989) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) all_57_21 = all_22_1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9659), (9990) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) all_57_18 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9989) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) ~ (all_52_1 = all_22_1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9990) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) ~ (all_52_14 = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9989) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) ~ (all_52_14 = all_22_1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9996) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) ~ (all_52_14 = all_22_1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9574), (9989) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) ~ (all_22_1 = e2)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9976), (9989) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) ~ (all_22_1 = e1)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) all_54_7 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10000) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_22_1 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10001) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002) all_22_1 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9983), (10002) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10003) $false
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10003) is inconsistent.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10004) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10004) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10005) all_54_7 = e2
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10005) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10006) all_22_1 = e2
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10006) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10007) all_22_1 = e2
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9998), (10007) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10008) $false
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10008) is inconsistent.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) all_54_7 = e1 | all_54_7 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10009) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) all_54_7 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10010) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) all_22_1 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10011) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) all_22_1 = e1
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10012) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) $false
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10013) is inconsistent.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) all_54_7 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10014) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) all_22_1 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10015) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) all_22_1 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9992), (10016) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) all_57_21 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9994), (10016) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) ~ (all_52_1 = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9997), (10016) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) ~ (all_52_14 = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10016) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) ~ (e1 = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10021) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (10018), (10021),
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #929.
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10022) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10022) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10023) all_56_6 = e0 & op(e1, e3) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10023) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10024) op(e1, e3) = e0
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025) all_54_11 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (10025) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) all_52_14 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10026) implies:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027) all_52_14 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9657), (10027) imply:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10028) all_57_24 = e3
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10029) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10029) gives:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10030) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (159), (163), (170), (204), (294),
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (355), (357), (9980), (10024), (10030),
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1283.
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10031) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10031) gives:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10032) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10032) implies:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10033) op(e0, e3) = e3
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (9980), (10033), (function-axioms) are
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1529.
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10034) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10034) implies:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10035) ~ (all_57_7 = e0)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10036) op(e2, all_57_21) = all_57_7
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9645), (10017), (10035), (10036),
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #214.
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10037) gives:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10038) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (9977), (10038), (function-axioms)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10039) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10039) gives:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10040) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10040) implies:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10041) op(e3, e1) = e1
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9615), (10041), (function-axioms) are
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10042) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10042) gives:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10043) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10043) implies:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10044) op(e2, e1) = e1
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9616), (10044), (function-axioms) are
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10045) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10045) implies:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10046) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (9654), (9655), (9656), (9661),
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993), (10028), (10046), (function-axioms) are
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #211.
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10047) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (9661), (10019), (10047) are
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1112.
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10048) all_56_12 = e0 & op(e0, e3) = e0
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10048) implies:
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049) op(e0, e3) = e0
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9980), (10049), (function-axioms) are
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10050) all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10050) implies:
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10051) op(e2, e0) = e1
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9976), (10051), (function-axioms) are
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10052) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (10052),
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10053) all_56_13 = e1 & op(e0, e2) = e1
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10053) implies:
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10054) op(e0, e2) = e1
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9975), (10054), (function-axioms) are
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #841.
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10055) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (9617), (10055),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | (10056) all_54_10 = e0
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | REF_CLOSE: (349), (9603), (10056) are inconsistent by
% 179.73/27.47 | | | | | | | | | | | | | | | | sub-proof #1618.
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | (10057) all_26_2 = e0
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | COMBINE_EQS: (318), (10057) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10058) all_14_2 = e0
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | SIMP: (10058) implies:
% 179.73/27.47 | | | | | | | | | | | | | (10059) all_14_2 = e0
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | COMBINE_EQS: (309), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10060) all_44_2 = e0
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (363), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10061) ~ (all_52_2 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (374), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10062) ~ (all_52_6 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (376), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10063) ~ (all_52_8 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (377), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10064) ~ (all_52_9 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (379), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10065) ~ (all_52_11 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (381), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10066) ~ (all_52_14 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (9596), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10067) ~ (e3 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (9594), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10068) ~ (e2 = e0)
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | REDUCE: (51), (10059) imply:
% 179.73/27.47 | | | | | | | | | | | | | (10069) op(e1, e1) = e0
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | BETA: splitting (97) gives:
% 179.73/27.47 | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | (10070) ~ (all_44_2 = e0)
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | REDUCE: (10060), (10070) imply:
% 179.73/27.47 | | | | | | | | | | | | | | (10071) $false
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | CLOSE: (10071) is inconsistent.
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | (10072) ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 179.73/27.47 | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 179.73/27.47 | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | BETA: splitting (10072) gives:
% 179.73/27.47 | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | (10073) ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 179.73/27.47 | | | | | | | | | | | | | | | $i(all_44_0)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | ALPHA: (10073) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | (10074) ~ (all_44_0 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | (10075) op(e0, e0) = all_44_0
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REF_CLOSE: (9590), (10074), (10075), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | inconsistent by sub-proof #210.
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | (10076) ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 179.73/27.47 | | | | | | | | | | | | | | | $i(all_44_1)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | ALPHA: (10076) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | (10077) ~ (all_44_1 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | (10078) op(e0, e1) = all_44_1
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.73/27.47 | | | | | | | | | | | | | | | all_44_1, e1, e0, simplifying with (157), (10078)
% 179.73/27.47 | | | | | | | | | | | | | | | gives:
% 179.73/27.47 | | | | | | | | | | | | | | | (10079) all_52_11 = all_44_1
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | COMBINE_EQS: (262), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10080) all_54_14 = all_44_1
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REDUCE: (139), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10081) ~ (all_52_3 = all_44_1)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REDUCE: (125), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10082) ~ (all_52_7 = all_44_1)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REDUCE: (121), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10083) ~ (all_52_8 = all_44_1)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REDUCE: (118), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10084) ~ (all_52_9 = all_44_1)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REDUCE: (9572), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10085) ~ (all_44_1 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | REDUCE: (10065), (10079) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | (10086) ~ (all_44_1 = e0)
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.73/27.47 | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | (10087) all_54_14 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10087) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | (10088) all_44_1 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | REDUCE: (10077), (10088) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | (10089) $false
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | CLOSE: (10089) is inconsistent.
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | (10090) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | BETA: splitting (10090) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | (10091) all_54_14 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10091) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | (10092) all_44_1 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | REDUCE: (10085), (10092) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | (10093) $false
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | CLOSE: (10093) is inconsistent.
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | (10094) ~ (all_54_14 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | (10095) all_54_14 = e1 | all_54_14 = e0
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | BETA: splitting (10095) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10096) all_54_14 = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10096) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10097) all_44_1 = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | REDUCE: (10081), (10097) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10098) ~ (all_52_3 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | REDUCE: (10082), (10097) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10099) ~ (all_52_7 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | REDUCE: (10083), (10097) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10100) ~ (all_52_8 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | REDUCE: (10084), (10097) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10101) ~ (all_52_9 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | REDUCE: (10085), (10097) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | (10102) ~ (e2 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | (10103) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (10103) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10104) all_56_4 = e1 & op(e3, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (10104) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10105) op(e3, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10105),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | #1258.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10106) all_56_5 = e1 & op(e2, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (10106) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10107) op(e2, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10101), (10107), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | (10108) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (10108) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10109) all_56_8 = e1 & op(e1, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (10109) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10110) op(e1, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10069), (10110), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10111) all_56_14 = e1 & op(e0, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (10111) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10112) all_56_14 = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | (10113) op(e0, e1) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | (10114) ~ (all_28_2 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (10114) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | (10115) ~ (all_10_2 = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | (10116) all_54_5 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10116) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | (10117) all_10_2 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10117) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | (10118) $false
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10118) is inconsistent.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | (10119) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10119) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | (10120) all_54_5 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10120) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | (10121) all_10_2 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10121) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | (10122) ~ (all_52_1 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10121) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | (10123) ~ (all_52_6 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (10121) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | (10124) ~ (all_52_9 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10121) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | (10125) op(e2, e2) = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | (10126) all_54_6 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (10126) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | (10127) all_52_9 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10127) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | (10128) ~ (all_52_8 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10127) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | (10129) ~ (all_52_13 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10129) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | (10130) ~ (all_52_13 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (10127) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | (10131) op(e2, e1) = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10132) all_54_2 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (10128), (10132) are inconsistent by
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10133) ~ (all_54_2 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10134) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) all_54_2 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (10135) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) all_52_8 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10136) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) all_52_8 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10137) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) ~ (all_52_12 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (10137) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) ~ (all_4_2 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10139) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) ~ (all_4_2 = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) all_54_0 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (10141) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) all_4_2 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (10142) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) ~ (all_52_1 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (10142) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) ~ (all_52_3 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (10142) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) ~ (all_52_12 = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (10142) imply:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) op(e3, e3) = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) all_54_12 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10144), (10147) are inconsistent by
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (10130), (10145), (10149),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10150) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) all_56_11 = e3 & op(e1, e0) = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10151) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) all_56_11 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10153) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) all_56_12 = e3 & op(e0, e3) = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10154) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) all_56_12 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) op(e0, e3) = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (229),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (386), (10146), (10155), (10156), (10157),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #207.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10158) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) all_56_6 = e2 & op(e1, e3) = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10159) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) all_56_6 = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (229), (386), (10146),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155), (10160), (10161), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1012.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10162) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) all_56_6 = e1 & op(e1, e3) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10163) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) all_56_6 = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (10069), (10123),
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152), (10164), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1214.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) all_56_12 = e1 & op(e0, e3) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10165) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) op(e0, e3) = e1
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (10156), (10166), (function-axioms)
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1529.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) all_56_12 = e2 & op(e0, e3) = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10167) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) op(e0, e3) = e2
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10156), (10168), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1039.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) all_56_13 = e3 & op(e0, e2) = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10169) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) all_56_13 = e3
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) all_56_15 = e0 & op(e0, e0) = e0
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10171) implies:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) op(e0, e0) = e0
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10172), (function-axioms) are
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.73/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10173) implies:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10174) gives:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10175) implies:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) op(e0, e3) = e0
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10177) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10177) gives:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10178) all_56_1 = e0 & op(e3, e2) = e0
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10178) implies:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) all_56_1 = e0
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10180) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (10146), (10179), (10180),
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #878.
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10181) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10181) gives:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10182) all_56_4 = e1 & op(e3, e1) = e1
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10182) implies:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10183) op(e3, e1) = e1
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10183),
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10184) all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10184) implies:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) op(e3, e0) = e1
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10186) gives:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (10128), (10143), (10187),
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10188) gives:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10176), (10185), (10189), (function-axioms)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #206.
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10190) implies:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) op(e3, e2) = e2
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (286), (10063), (10100), (10134),
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191), (function-axioms) are inconsistent by
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #205.
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10192) gives:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (9571), (10131), (10193),
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10194) gives:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10195) implies:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) op(e3, e1) = e1
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10196),
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10197) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10198) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) op(e2, e1) = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10131), (10199), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10200) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) op(e0, e1) = all_57_27
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10148) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) all_54_12 = e2
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (10203) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #709.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) all_54_12 = e1 | all_54_12 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10204) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) all_54_12 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10098), (10205) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) all_54_12 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10206) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) all_52_3 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10207) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) all_52_3 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10208) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) ~ (all_52_1 = e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10208) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) ~ (all_52_7 = e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10210) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) ~ (all_52_7 = e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) all_54_13 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (10212) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) all_52_7 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10213) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) all_52_7 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10214) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) ~ (all_52_6 = e3)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10216) all_54_9 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (10215), (10216) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218) all_54_4 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10143), (10218) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1078.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10219) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10219) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220) all_54_4 = e2
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10122), (10220) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1084.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10221) all_54_4 = e1 | all_54_4 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10221) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10222) all_54_4 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (10222) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10223) all_52_1 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10223) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10224) all_52_1 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10224) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225) ~ (all_52_13 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10225) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10226) ~ (all_52_13 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10227) all_54_7 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (10130), (10227) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10228) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229) all_54_7 = e2
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (10229) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #795.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10230) all_54_7 = e1 | all_54_7 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10231) all_54_9 = e2
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (10231) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232) all_52_6 = e2
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10123), (10232) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10233) $false
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10233) is inconsistent.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10234) all_54_9 = e1 | all_54_9 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10235) all_54_9 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (10235) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10236) all_52_6 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10236) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10237) ~ (all_52_14 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10237) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238) ~ (all_52_14 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10230) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10239) all_54_7 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (10226), (10239) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240) all_54_7 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (10240) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241) all_52_13 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10241) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242) all_52_13 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10242) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243) ~ (all_52_12 = e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (201), (285), (9573), (10113), (10145),
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201), (10202), (10238), (10243),
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #202.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244) all_54_9 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (10244) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10245) all_52_6 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10062), (10245) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246) $false
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10246) is inconsistent.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247) all_54_4 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10209), (10247) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #924.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10248) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (10099), (10211), (10248) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10249) all_56_3 = e0 & op(e2, e2) = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10249) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10250) op(e2, e2) = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10125), (10250), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10251) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10251) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252) all_56_7 = e0 & op(e1, e2) = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10062), (10252), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) all_56_13 = e0 & op(e0, e2) = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10253) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10254) all_56_13 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10170), (10254) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #783.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10255) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (10113), (10170), (10255),
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10256) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10256) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10257) all_56_14 = e3 & op(e0, e1) = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10257) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258) all_56_14 = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10112), (10258) are inconsistent by
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1508.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10259) all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10259) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10260) op(e0, e0) = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10260), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10261) all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10261) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10262) op(e0, e0) = e3
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10262), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (9598), (10140), (10263) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (10264) all_54_2 = e1 | all_54_2 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (10063), (10100), (10264) are inconsistent
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1324.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | (10265) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (10064), (10101), (10124), (10265) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #200.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | (10266) all_54_5 = e1 | all_54_5 = e0
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (10115), (10266) are inconsistent
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1353.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10267) all_28_2 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10268) ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (10267) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10269) all_10_2 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | SIMP: (10269) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10270) all_10_2 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10270) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10271) ~ (all_52_1 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10270) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10272) ~ (all_52_13 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10270) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10273) ~ (e3 = e1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10270) imply:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | (10274) op(e2, e2) = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9601) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | (10275) ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10274), (10275), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #215.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | (10276) ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10276) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | (10277) ~ (all_22_1 = e3)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | (10278) op(e2, e0) = all_22_1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10268) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | (10279) ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_0)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10069), (10279), (function-axioms) are
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199.
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | (10280) ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10280) implies:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | (10281) ~ (all_28_1 = e3)
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | (10282) op(e1, e2) = all_28_1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | (10283) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.03/27.49 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (9598), (10271), (10283),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | #1351.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | (10284) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10284) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | (10285) all_56_6 = e1 & op(e1, e3) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10285) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | (10286) all_56_6 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | (10287) op(e1, e3) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10288) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) all_56_6 = e2 & op(e1, e3) = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10289) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) all_56_6 = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10286), (10290) are inconsistent by
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1215.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10291) all_56_7 = e2 & op(e1, e2) = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10291) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292) all_56_7 = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10293) op(e1, e2) = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10294) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10295) all_56_0 = e1 & op(e3, e3) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10295) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10296) op(e3, e3) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9598), (10296), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10297) all_56_1 = e1 & op(e3, e2) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10297) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10298) all_56_1 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10299) op(e3, e2) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10286), (10292), (10300) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10301) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10301) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10302) all_56_8 = e3 & op(e1, e1) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10302) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10303) op(e1, e1) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10069), (10303), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10304) all_56_11 = e3 & op(e1, e0) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10304) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10305) all_56_11 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10306) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10306) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10307) all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10307) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10308) all_56_9 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10309) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10309) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10310) all_56_1 = e0 & op(e3, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10298), (10310) are inconsistent by
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1581.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10311) all_56_3 = e0 & op(e2, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10311) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10312) op(e2, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10274), (10312), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10313) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10313) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10314) all_56_7 = e0 & op(e1, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10062), (10314), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) all_56_13 = e0 & op(e0, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10315) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) all_56_13 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10317) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318) all_56_1 = e3 & op(e3, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10318) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10319) op(e3, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10299), (10319), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1579.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10320) all_56_3 = e3 & op(e2, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10320) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321) op(e2, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10321), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10322) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323) all_56_7 = e3 & op(e1, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (212), (213),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (9590), (10062), (10277), (10278), (10286),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292), (10305), (10308), (10323),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #192.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10324) all_56_13 = e3 & op(e0, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10324) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10325) all_56_13 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10316), (10325) are inconsistent by
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #783.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10326) all_56_10 = e1 & op(e2, e0) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10326) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10327) op(e2, e0) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10272), (10327), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (10305), (10328),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1110.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10329) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10330) all_56_4 = e1 & op(e3, e1) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10330) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10331) op(e3, e1) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10331),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10332) all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10332) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10333) all_56_9 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10334) op(e3, e0) = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335) all_56_15 = e0 & op(e0, e0) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10335) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10336) op(e0, e0) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10336), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10337) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10337) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10338) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10339) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10339) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340) all_56_9 = e0 & op(e3, e0) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10333), (10340) are inconsistent by
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1505.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10341) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10342) all_56_10 = e0 & op(e2, e0) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10342) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343) op(e2, e0) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10344) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10277), (10278), (10333), (10344),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10345) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10345) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10346) all_56_11 = e3 & op(e1, e0) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10346) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10347) all_56_11 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348) op(e1, e0) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10349) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10349) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10350) all_56_0 = e0 & op(e3, e3) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10350) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351) op(e3, e3) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (10351), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352) all_56_1 = e0 & op(e3, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10352) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10353) op(e3, e2) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10354) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) all_56_1 = e3 & op(e3, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10355) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) op(e3, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10353), (10356), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) all_56_3 = e3 & op(e2, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10357) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) op(e2, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10358), (function-axioms) are
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10359) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10360) all_56_7 = e3 & op(e1, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (212), (213),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (9590), (10062), (10277), (10278), (10286),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292), (10333), (10347), (10360),
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #192.
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361) all_56_13 = e3 & op(e0, e2) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10361) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10362) all_56_13 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10338) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10363) all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10363) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10364) op(e0, e3) = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (10364) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10365) all_52_3 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (10348) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10366) all_52_14 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (10293) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10367) all_52_6 = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e2, e1, simplifying with (162), (10282)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368) all_52_6 = all_28_1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (10287) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10369) all_52_2 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (10343) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10370) all_52_13 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1, e0, e2, simplifying with (164), (10278)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371) all_52_13 = all_22_1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (10334) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372) all_52_12 = e1
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10353) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10373) all_52_4 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10367), (10368) imply:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10374) all_28_1 = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10374) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375) all_28_1 = e2
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10370), (10371) imply:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10376) all_22_1 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10376) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377) all_22_1 = e0
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (10373) imply:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378) ~ (all_4_2 = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10272), (10370) imply:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10379) ~ (e1 = e0)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10281), (10375) imply:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380) ~ (e3 = e2)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10381) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10381) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382) all_57_28 = e3 & op(e3, e3) = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10382) implies:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10383) all_57_28 = e3
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10384) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10384) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10385) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10385) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10386) implies:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10387) op(e3, e2) = e3
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10353), (10387), (function-axioms) are
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10388) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10388) implies:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10389) all_57_17 = e3
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390) ~ (all_57_28 = e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10391) op(e1, e3) = e3
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392) op(e3, e3) = all_57_28
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10393) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394) all_57_28 = e1 & op(e3, e3) = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10394) implies:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10395) op(e3, e3) = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10390), (10392), (10395), (function-axioms) are
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1030.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10396) all_57_29 = e1 & op(e2, e2) = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (10287), (10391) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10397) e3 = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10362), (10397) imply:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) all_56_13 = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (162), (225), (228), (10062),
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10274), (10292), (10398), (function-axioms) are
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10399) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) all_57_30 = e1 & op(e1, e1) = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10400) implies:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) op(e1, e1) = e1
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (165),
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (217), (219), (220), (387), (10064),
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098), (10362), (10401), (function-axioms) are
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #191.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10389), (10402), (function-axioms)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1040.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10403) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10334), (10364), (10404), (function-axioms)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #206.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10405) implies:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) op(e3, e2) = e2
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10353), (10406), (function-axioms) are
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10407) gives:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (10274), (10408), (function-axioms)
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10409) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10410) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) op(e3, e1) = e1
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10411),
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10412) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10413) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) op(e2, e1) = e1
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10101), (10414), (function-axioms) are
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10415) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) op(e0, e1) = all_57_27
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10417) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10418) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) ~ (all_57_30 = e0)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) op(e1, e0) = e1
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (10274), (10421),
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10422) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10423) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_57_30 = e0
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10419), (10424) imply:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) $false
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10425) is inconsistent.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10420), (10426), (function-axioms)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #189.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10427) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) ~ (all_57_14 = e1)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) op(e0, all_57_27) = all_57_14
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (10113),
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) all_57_27 = e1
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10429), (10430) imply:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) op(e0, e1) = all_57_14
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10113), (10428), (10431), (function-axioms) are
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1177.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) all_57_29 = e3 & op(e2, e2) = e3
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10432) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) op(e2, e2) = e3
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10433), (function-axioms) are
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10434) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10435) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) op(e1, e1) = e3
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10069), (10436), (function-axioms) are
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10437) gives:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10438) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) op(e0, e0) = e3
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10439), (function-axioms) are
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10440) implies:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) ~ (all_57_25 = e0)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) op(e0, e3) = all_57_25
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10364), (10441), (10442), (function-axioms) are
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (10113), (10362), (10443),
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10444) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) all_56_4 = e0 & op(e3, e1) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10445) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) all_56_4 = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) op(e3, e1) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10448) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) all_56_4 = e2 & op(e3, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10449) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) all_56_4 = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10446), (10450) are inconsistent by
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1394.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_56_5 = e2 & op(e2, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10451) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) op(e2, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10453) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_56_2 = e3 & op(e2, e3) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10454) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) op(e2, e3) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (10455), (10456),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10457) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) all_56_6 = e0 & op(e1, e3) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10061), (10458), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1197.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10459) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) op(e0, e3) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (10447), (10452), (10461),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1004.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10462) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) all_56_8 = e3 & op(e1, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10463) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) op(e1, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10069), (10464), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) all_56_14 = e3 & op(e0, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10465) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) all_56_14 = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (158), (207), (387), (10080),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10082), (10085), (10086), (10090), (10460),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466), (function-axioms) are inconsistent by
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #185.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) all_56_3 = e3 & op(e2, e2) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10467) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) op(e2, e2) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10468), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1347.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10469) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) all_56_5 = e3 & op(e2, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10470) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) op(e2, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10452), (10471), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) all_56_10 = e3 & op(e2, e0) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10472) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) op(e2, e0) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10277), (10278), (10473), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #197.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10474) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) all_56_8 = e2 & op(e1, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10475) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) op(e1, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10069), (10476), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) all_56_14 = e2 & op(e0, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10477) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) op(e0, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10113), (10478), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #862.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) all_56_9 = e0 & op(e3, e0) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10333), (10479) are inconsistent by
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1505.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) op(e0, e0) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10481), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) all_56_11 = e0 & op(e1, e0) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10482) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) op(e1, e0) = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10066), (10483), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10484) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) all_56_8 = e2 & op(e1, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10485) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) op(e1, e1) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10069), (10486), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) all_56_11 = e2 & op(e1, e0) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10487) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) all_56_11 = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10489) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) all_56_0 = e1 & op(e3, e3) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10490) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) op(e3, e3) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (164),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (210), (230), (234), (236), (386), (387),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272), (10488), (10491), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1023.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) all_56_1 = e1 & op(e3, e2) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10492) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) op(e3, e2) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10274), (10493), (10494), (function-axioms)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #184.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10495) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) all_56_7 = e2 & op(e1, e2) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10496) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) all_56_7 = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (213), (216),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10062), (10286), (10488), (10497),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #194.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) all_56_13 = e2 & op(e0, e2) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10498) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) op(e0, e2) = e2
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (10499), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10500) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_56_4 = e1 & op(e3, e1) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10501) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) op(e3, e1) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10502),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10503) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) all_56_9 = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10505) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) all_56_6 = e3 & op(e1, e3) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10506) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) all_56_6 = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10286), (10507) are inconsistent by
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1546.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_56_7 = e3 & op(e1, e2) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10508) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) all_56_7 = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (212), (213),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (9590), (10062), (10277), (10278), (10286),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488), (10504), (10509), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #193.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (162), (213), (10062),
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10286), (10488), (10510), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | (10511) all_56_12 = e1 & op(e0, e3) = e1
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10098), (10511), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | (10512) all_54_14 = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10512) imply:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | (10513) all_44_1 = e0
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | REDUCE: (10086), (10513) imply:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | (10514) $false
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | CLOSE: (10514) is inconsistent.
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | End of split
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | (10515) all_18_2 = e1
% 180.03/27.53 | | | | | | | | | | | (10516) ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 180.03/27.53 | | | | | | | | | | | $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3)
% 180.03/27.53 | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | COMBINE_EQS: (342), (10515) imply:
% 180.03/27.53 | | | | | | | | | | | (10517) all_4_2 = e1
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | REDUCE: (351), (10517) imply:
% 180.03/27.53 | | | | | | | | | | | (10518) ~ (all_52_1 = e1)
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | REDUCE: (353), (10517) imply:
% 180.03/27.53 | | | | | | | | | | | (10519) ~ (all_52_2 = e1)
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | REDUCE: (355), (10517) imply:
% 180.03/27.53 | | | | | | | | | | | (10520) ~ (all_52_3 = e1)
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | REDUCE: (359), (10517) imply:
% 180.03/27.53 | | | | | | | | | | | (10521) ~ (all_52_8 = e1)
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | BETA: splitting (231) gives:
% 180.03/27.53 | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | (10522) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.03/27.53 | | | | | | | | | | | | & op(e2, e3) = e1)
% 180.03/27.53 | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | BETA: splitting (10522) gives:
% 180.03/27.53 | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | (10523) all_56_0 = e1 & op(e3, e3) = e1
% 180.03/27.53 | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | ALPHA: (10523) implies:
% 180.03/27.53 | | | | | | | | | | | | | (10524) all_56_0 = e1
% 180.03/27.53 | | | | | | | | | | | | | (10525) op(e3, e3) = e1
% 180.03/27.53 | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | BETA: splitting (253) gives:
% 180.03/27.53 | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | (10526) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.53 | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10526),
% 180.03/27.53 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.53 | | | | | | | | | | | | | | #182.
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | (10527) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.53 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 180.03/27.53 | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & $i(all_57_19))
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | BETA: splitting (10527) gives:
% 180.03/27.53 | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | (10528) all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | ALPHA: (10528) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | (10529) op(e1, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10529), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | (10530) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.53 | | | | | | | | | | | | | | | (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.03/27.53 | | | | | | | | | | | | | | | $i(all_57_19))
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | BETA: splitting (10530) gives:
% 180.03/27.53 | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | (10531) all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | ALPHA: (10531) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | (10532) op(e0, e0) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10532), (function-axioms) are
% 180.03/27.53 | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | (10533) ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.03/27.53 | | | | | | | | | | | | | | | | $i(all_57_19)
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | ALPHA: (10533) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | (10534) ~ (all_57_19 = e2)
% 180.03/27.53 | | | | | | | | | | | | | | | | (10535) op(e2, e3) = all_57_19
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | (10536) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10536),
% 180.03/27.53 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.53 | | | | | | | | | | | | | | | | | #182.
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | (10537) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.53 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 180.03/27.53 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_22 & $i(all_57_22))
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | BETA: splitting (10537) gives:
% 180.03/27.53 | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | (10538) all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.53 | | | | | | | | | | | | | | | | | | ALPHA: (10538) implies:
% 180.03/27.53 | | | | | | | | | | | | | | | | | | (10539) op(e1, e1) = e3
% 180.03/27.53 | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10539), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 180.03/27.54 | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | (10540) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.54 | | | | | | | | | | | | | | | | | | (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 180.03/27.54 | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | BETA: splitting (10540) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | (10541) all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | ALPHA: (10541) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | (10542) op(e0, e0) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10542), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | (10543) ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | ALPHA: (10543) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | (10544) ~ (all_57_22 = e1)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | (10545) op(e1, e3) = all_57_22
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | (10546) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10546),
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | #182.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | (10547) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10547) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | (10548) all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10548) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | (10549) op(e1, e1) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10549), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | (10550) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10550) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | (10551) all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10551) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | (10552) op(e0, e0) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10552), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | (10553) ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10553) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | (10554) ~ (all_57_25 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | (10555) op(e0, e3) = all_57_25
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | (10556) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10556),
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | #182.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | (10557) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & $i(all_57_28))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10557) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | (10558) all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10558) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | (10559) op(e1, e1) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10559), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | (10560) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10560) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10561) all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10561) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10562) op(e0, e0) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10562), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10563) ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10563) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10564) op(e3, e3) = all_57_28
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25, e3, e0, simplifying with (159), (10555)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_57_25 = all_52_3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e3, e1, simplifying with (163), (10545)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10566) all_57_22 = all_52_2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e3, e2, simplifying with (167), (10535)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10567) all_57_19 = all_52_1
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e3, e3, simplifying with (10525),
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10564) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10568) all_57_28 = e1
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10534), (10567) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10569) ~ (all_52_1 = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10554), (10565) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | (10570) ~ (all_52_3 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10571) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) all_56_0 = e2 & op(e3, e3) = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10572) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) op(e3, e3) = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10525), (10573), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) all_56_2 = e2 & op(e2, e3) = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10574) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) op(e2, e3) = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10534), (10535), (10575), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10576) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) all_56_6 = e2 & op(e1, e3) = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10577) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) all_56_6 = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) all_54_12 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10579) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) all_52_3 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10580) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) all_52_3 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10565), (10581) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) all_57_25 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10581) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) ~ (all_52_1 = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10581) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) ~ (all_52_2 = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10581) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) ~ (all_52_11 = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10585) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) ~ (all_52_11 = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) all_54_4 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10583), (10587) are inconsistent by
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1078.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) ~ (all_54_4 = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10590) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) all_56_0 = e0 & op(e3, e3) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10591) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) op(e3, e3) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (10592), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) all_56_2 = e0 & op(e2, e3) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10593) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_56_2 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10589) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) all_54_4 = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10569), (10595) are inconsistent by
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1084.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) ~ (all_54_4 = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) all_54_4 = e1 | all_54_4 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10597) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) all_54_4 = e1
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10518), (10598) are inconsistent by
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1083.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) all_54_4 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (10599) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) all_52_1 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10600) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) all_52_1 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10601) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) ~ (all_52_2 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10602) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) ~ (all_52_2 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10601) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) ~ (all_10_2 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10583), (10601) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) ~ (e3 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10569), (10601) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) ~ (e2 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10518), (10601) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) ~ (e1 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10608) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) all_56_12 = e3 & op(e0, e3) = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10609) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) all_56_12 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) all_54_8 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10584), (10611) are inconsistent by
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10612) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) all_54_8 = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10613) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) all_52_2 = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10614) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) all_52_2 = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10615) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) ~ (all_52_6 = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10616) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) ~ (all_52_6 = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (10615) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) ~ (all_14_2 = e2)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (10615) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) op(e1, e3) = e2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10516) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10620) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) ~ (all_18_0 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) op(e1, e1) = all_18_0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e1, simplifying with (51), (10622)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_18_0 = all_14_2
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10621), (10623) imply:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) ~ (all_14_2 = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10625),
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10627) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) op(e1, e1) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10621), (10622), (10628), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1042.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10629) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10630) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) op(e0, e0) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10631), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10632) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) ~ (all_57_18 = e3)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) all_54_10 = e3
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (9596), (10634) are inconsistent by
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1621.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10636),
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1622.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10637) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10638) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) op(e1, e1) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10621), (10622), (10639), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1042.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10640) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10641) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) op(e0, e0) = e0
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10642), (function-axioms) are
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10643) implies:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) ~ (all_57_24 = e1)
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) op(e1, e0) = all_57_24
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10646) gives:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10647) gives:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10648) implies:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) op(e2, e3) = e3
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (10518), (10583), (10597), (10649),
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1082.
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10650) implies:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) ~ (all_57_28 = e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10525), (10564), (10651), (function-axioms) are
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1030.
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10652) gives:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10653) implies:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) all_57_18 = e3
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10633), (10654) imply:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) $false
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10655) is inconsistent.
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10656) implies:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) op(e2, e3) = e2
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (229), (386), (10578), (10610),
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657), (function-axioms) are inconsistent by
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1010.
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10658) gives:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (10617), (10659),
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1612.
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10660) gives:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10661) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) op(e3, e1) = e1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10521), (10662), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10663) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10664) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) op(e2, e1) = e1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (349), (377), (9594), (10624), (10635),
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665), (function-axioms) are inconsistent by
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #179.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10666) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10582), (10644), (10645), (10667),
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #177.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10668) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) ~ (all_18_1 = e2)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) op(e1, e3) = all_18_1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_18_1,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (10619), (10670) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) all_18_1 = e2
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10669), (10671) imply:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) $false
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10672) is inconsistent.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) all_54_8 = e1 | all_54_8 = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10519), (10603), (10673) are inconsistent
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1079.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) all_56_13 = e3 & op(e0, e2) = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10674) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) all_56_13 = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) all_56_15 = e0 & op(e0, e0) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10676) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) op(e0, e0) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10677), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10678) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10680) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) op(e0, e3) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10554), (10555), (10681), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10682) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) all_56_13 = e0 & op(e0, e2) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10675), (10683) are inconsistent by
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1421.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) all_56_14 = e0 & op(e0, e1) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10684) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) op(e0, e1) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10686) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) all_56_12 = e1 & op(e0, e3) = e1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10687) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_56_12 = e1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) op(e0, e3) = e1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (159), (233), (235),
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524), (10594), (10688), (10689),
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #509.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_56_13 = e1 & op(e0, e2) = e1
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10675), (10690) are inconsistent by
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1460.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (387), (10685), (10691),
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #702.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10692) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) all_56_14 = e3 & op(e0, e1) = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (10586), (10693), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #176.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10694) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) op(e0, e0) = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10695), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10696) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_56_6 = e0 & op(e1, e3) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10697) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) all_56_6 = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10578), (10698) are inconsistent by
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1592.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10699) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) op(e0, e3) = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10554), (10555), (10700), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (10520), (10570), (10701) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) all_56_12 = e2 & op(e0, e3) = e2
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10702) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) op(e0, e3) = e2
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) all_54_12 = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10704) imply:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) all_52_3 = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10705) implies:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) all_52_3 = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10706) imply:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) op(e0, e3) = e3
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10703), (10707), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1039.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (10520), (10570), (10708) are
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | (10709) all_56_2 = e1 & op(e2, e3) = e1
% 180.03/27.56 | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | | REF_CLOSE: (167), (10518), (10709), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 180.03/27.56 | | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | (10710) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.03/27.56 | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | REF_CLOSE: (159), (163), (10519), (10520), (10710),
% 180.03/27.56 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.56 | | | | | | | | | | | | #174.
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | End of split
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | (10711) all_16_2 = e3
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | COMBINE_EQS: (338), (10711) imply:
% 180.03/27.56 | | | | | | | | | | (10712) all_14_2 = e3
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | SIMP: (10712) implies:
% 180.03/27.56 | | | | | | | | | | (10713) all_14_2 = e3
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | REDUCE: (376), (10713) imply:
% 180.03/27.56 | | | | | | | | | | (10714) ~ (all_52_8 = e3)
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | REDUCE: (381), (10713) imply:
% 180.03/27.56 | | | | | | | | | | (10715) ~ (all_52_14 = e3)
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | REDUCE: (51), (10713) imply:
% 180.03/27.56 | | | | | | | | | | (10716) op(e1, e1) = e3
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | BETA: splitting (238) gives:
% 180.03/27.56 | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | (10717) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.56 | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10717),
% 180.03/27.56 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.56 | | | | | | | | | | | #1622.
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | (10718) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 180.03/27.56 | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | BETA: splitting (10718) gives:
% 180.03/27.56 | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | Case 1:
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | (10719) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | ALPHA: (10719) implies:
% 180.03/27.56 | | | | | | | | | | | | (10720) op(e1, e1) = e0
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10720), (function-axioms) are
% 180.03/27.56 | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.56 | | | | | | | | | | | Case 2:
% 180.03/27.56 | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | (10721) op(e0, e0) = all_57_31 & $i(all_57_31)
% 180.03/27.57 | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | ALPHA: (10721) implies:
% 180.03/27.57 | | | | | | | | | | | | (10722) op(e0, e0) = all_57_31
% 180.03/27.57 | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.03/27.57 | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | (10723) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.57 | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.57 | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10723),
% 180.03/27.57 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.57 | | | | | | | | | | | | | #1622.
% 180.03/27.57 | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | (10724) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.57 | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 180.03/27.57 | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 180.03/27.57 | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | BETA: splitting (10724) gives:
% 180.03/27.57 | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | (10725) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | ALPHA: (10725) implies:
% 180.03/27.57 | | | | | | | | | | | | | | (10726) op(e1, e1) = e0
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10726), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | (10727) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.57 | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.57 | | | | | | | | | | | | | | $i(all_57_18))
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | BETA: splitting (10727) gives:
% 180.03/27.57 | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | (10728) all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | ALPHA: (10728) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | (10729) op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10729), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | (10730) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.57 | | | | | | | | | | | | | | | $i(all_57_18)
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | ALPHA: (10730) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | (10731) ~ (all_57_18 = e3)
% 180.03/27.57 | | | | | | | | | | | | | | | (10732) op(e3, e0) = all_57_18
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.03/27.57 | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | (10733) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.57 | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.57 | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10733),
% 180.03/27.57 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.57 | | | | | | | | | | | | | | | | #1622.
% 180.03/27.57 | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | (10734) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.57 | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 180.03/27.57 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 180.03/27.57 | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | BETA: splitting (10734) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | (10735) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | ALPHA: (10735) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | (10736) op(e1, e1) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10736), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | (10737) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.57 | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.03/27.57 | | | | | | | | | | | | | | | | | $i(all_57_21))
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | BETA: splitting (10737) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | (10738) all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | ALPHA: (10738) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | (10739) op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10739), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | (10740) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.03/27.57 | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | ALPHA: (10740) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | (10741) ~ (all_57_21 = e2)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | (10742) op(e2, e0) = all_57_21
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | (10743) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10743),
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | #1622.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | (10744) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.03/27.57 | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (10744) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | (10745) all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | ALPHA: (10745) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | (10746) op(e1, e1) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10746), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | (10747) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10747) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10748) all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10748) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10749) op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10749), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10750) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10750) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10751) ~ (all_57_24 = e1)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10752) op(e1, e0) = all_57_24
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (9590),
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10722) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10753) all_57_31 = e2
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | all_57_24, e0, e1, simplifying with (160), (10752)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10754) all_57_24 = all_52_14
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | all_57_21, e0, e2, simplifying with (164), (10742)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10755) all_57_21 = all_52_13
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (168), (10732)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10756) all_57_18 = all_52_12
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10731), (10756) imply:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10757) ~ (all_52_12 = e3)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10751), (10754) imply:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | (10758) ~ (all_52_14 = e1)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | (10759) all_54_11 = e3
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (10715), (10759) are inconsistent by
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | (10760) ~ (all_54_11 = e3)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | (10761) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | (10762) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10762) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_56_9 = e3 & op(e3, e0) = e3
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10763) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (10764) op(e3, e0) = e3
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10757), (10764), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_56_10 = e3 & op(e2, e0) = e3
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_56_10 = e3
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | (10767) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10767) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10768) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) all_56_9 = e1
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) all_56_15 = e0 & op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10770) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) op(e0, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10771), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10772) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10773) gives:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_56_9 = e0 & op(e3, e0) = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10774) implies:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) all_56_9 = e0
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (10758),
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766), (10775), (function-axioms) are
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1483.
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 180.03/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10776) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_56_10 = e0 & op(e2, e0) = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10766), (10777) are inconsistent by
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #217.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10778) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) all_56_11 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10761) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) all_54_11 = e2
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (10780) are inconsistent by
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) all_54_11 = e1 | all_54_11 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10781) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) all_54_11 = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (10758), (10782) are inconsistent by
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1114.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) all_54_11 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (10783) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) all_52_14 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10784) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) all_52_14 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10754), (10785) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_57_24 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10785) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) ~ (all_52_12 = e0)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (10785) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) ~ (all_52_13 = e0)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789) all_54_3 = e3
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (10757), (10789) are inconsistent by
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #809.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10790) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10791) all_54_3 = e2
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (10791) are inconsistent by
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #748.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10792) ~ (all_54_3 = e2)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10793) all_54_3 = e1 | all_54_3 = e0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10793) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10794) all_54_3 = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (10794) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10795) all_52_12 = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10795) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10796) all_52_12 = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10796) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10797) ~ (all_52_8 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10796) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10798) ~ (all_52_13 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10798) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10799) ~ (all_52_13 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (10796) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800) ~ (all_4_2 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10800) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10801) ~ (all_4_2 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (10796) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10802) op(e3, e0) = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10803) all_54_7 = e3
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (10803) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10804) all_52_13 = e3
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10804) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10805) ~ (all_52_1 = e3)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10804) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10806) ~ (all_10_2 = e3)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (10804) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10807) op(e2, e0) = e3
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10808) ~ (all_22_2 = e2)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9569), (10808) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10809) $false
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10809) is inconsistent.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10810) ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10810) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10811) ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10811) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10812) ~ (all_22_0 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10813) op(e2, e2) = all_22_0
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e2, e2, simplifying with (45), (10813)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10814) all_22_0 = all_10_2
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10812), (10814) imply:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10815) ~ (all_10_2 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10816) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (9591), (9593), (10801),
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10815), (10816), (function-axioms) are
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1269.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10817) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10817) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10818) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10818) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10819) op(e1, e1) = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10716), (10819), (function-axioms) are
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10820) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10820) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10821) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10821) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10822) op(e0, e0) = e1
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10822), (function-axioms) are
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10823) implies:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10824) ~ (all_57_30 = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10825) op(e1, e1) = all_57_30
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10826) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (9591), (9593), (10801),
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10815), (10826), (function-axioms) are
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1269.
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10827) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10827) gives:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10828) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10828) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10829) op(e1, e1) = e1
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10824), (10825), (10829), (function-axioms) are
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10830) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10830) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10831) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10831) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10832) op(e0, e0) = e1
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10832), (function-axioms) are
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10833) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10833) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10834) op(e2, e1) = all_57_20
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10835) all_54_5 = e3
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9591), (10835) are inconsistent by
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1268.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10836) ~ (all_54_5 = e3)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10837) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10837) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10838) all_54_5 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10838) imply:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10839) all_10_2 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10839) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10840) all_10_2 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (10840) imply:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10841) ~ (all_52_4 = e2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10840) imply:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10842) ~ (all_52_6 = e2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (10840) imply:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10843) ~ (all_52_9 = e2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10840) imply:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10844) ~ (e3 = e2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10840) imply:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10845) op(e2, e2) = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10846) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10846) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10847) all_56_6 = e2 & op(e1, e3) = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10847) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10848) all_56_6 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10849) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10849) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10850) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10850) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10851) all_56_4 = e2
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10852) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10853) all_56_0 = e0 & op(e3, e3) = e0
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10853) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10854) op(e3, e3) = e0
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (10854), (function-axioms) are
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1624.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10855) all_56_1 = e0 & op(e3, e2) = e0
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10855) implies:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10856) all_56_1 = e0
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10857) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10857) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10858) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (10714), (10805), (10858),
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10859) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (170), (197), (275), (9574),
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788), (10799), (10841), (10859),
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #173.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10860) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10860) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10861) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (10834), (10843), (10861),
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10862) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10862) gives:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10863) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10863) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10864) op(e3, e1) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10797), (10864), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10865) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10865) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10866) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10866) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10867) ~ (all_57_11 = e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10868) op(e1, all_57_24) = all_57_11
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10752), (10786), (10867), (10868),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #172.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10869) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10869) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10870) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10870) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10871) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10871) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10872) op(e1, e0) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10751), (10752), (10872), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10873) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10873) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10874) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10874) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10875) all_57_31 = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10758), (10870), (10875),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1583.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10876) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10877) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10878) all_56_0 = e3 & op(e3, e3) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10879) op(e3, e3) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10880) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10880) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10881) all_57_28 = e1 & op(e3, e3) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10881) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10882) op(e3, e3) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10879), (10882), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10883) all_57_29 = e1 & op(e2, e2) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10883) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884) op(e2, e2) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10845), (10884), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10885) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10885) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10886) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10886) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10887) op(e1, e1) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10824), (10825), (10887), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10888) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10888) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10889) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10889) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10890) op(e0, e0) = e1
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10890), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10891) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10891) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10892) ~ (all_57_27 = e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10876) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10893) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10893) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10894) op(e3, e0) = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (160), (210), (265), (387), (10758),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766), (10769), (10781), (10802), (10894),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #171.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10895) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10788), (10892), (10895),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #170.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10896) all_56_1 = e3 & op(e3, e2) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10896) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10897) all_56_1 = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10856), (10897) are inconsistent by
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1573.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10898) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10898) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10899) all_56_4 = e3 & op(e3, e1) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10899) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10900) op(e3, e1) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10714), (10900), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10901) all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10901) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10902) op(e3, e0) = e3
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (197), (275), (9574), (10788),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10799), (10902), (function-axioms) are
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10903) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10903) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10904) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10851), (10904) are inconsistent by
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10905) all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10905) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10906) all_56_9 = e0
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10907) all_54_3 = e2
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (10907) are inconsistent by
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #748.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (113), (160), (164), (210), (285),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (10758), (10787), (10793), (10906),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #266.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10908) all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10908) implies:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10909) op(e2, e1) = e2
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10834), (10843), (10909),
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1327.
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10910) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10910) gives:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10911) all_56_8 = e2 & op(e1, e1) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10911) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10912) op(e1, e1) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (10779),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10848), (10912), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1162.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10913) all_56_14 = e2 & op(e0, e1) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9572), (10913), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #245.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10914) all_56_7 = e2 & op(e1, e2) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10914) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10915) op(e1, e2) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10842), (10915), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10916) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10716), (10779), (10916),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #800.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10917) all_54_5 = e1 | all_54_5 = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (10815), (10917) are inconsistent
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1353.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10918) ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10918) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10919) ~ (all_22_1 = e3)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10920) op(e2, e0) = all_22_1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10807), (10919), (10920), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #197.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10921) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (10788), (10799), (10921) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #944.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10922) all_54_3 = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (10787), (10922) are inconsistent by
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #828.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10923) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10923) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10924) all_56_10 = e1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10766), (10924) are inconsistent by
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1489.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10925) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10751), (10752), (10925),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | (10926) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (10715), (10926),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | #220.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | End of split
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | | (10927) all_14_2 = e2
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | | REDUCE: (374), (10927) imply:
% 180.22/27.60 | | | | | | | | | (10928) ~ (all_52_6 = e2)
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | | REDUCE: (376), (10927) imply:
% 180.22/27.60 | | | | | | | | | (10929) ~ (all_52_8 = e2)
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | | REDUCE: (51), (10927) imply:
% 180.22/27.60 | | | | | | | | | (10930) op(e1, e1) = e2
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | | BETA: splitting (238) gives:
% 180.22/27.60 | | | | | | | | |
% 180.22/27.60 | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | (10931) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60 | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10931),
% 180.22/27.60 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | #1622.
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | (10932) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 180.22/27.60 | | | | | | | | | | all_57_31 & $i(all_57_31))
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | BETA: splitting (10932) gives:
% 180.22/27.60 | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | (10933) all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | ALPHA: (10933) implies:
% 180.22/27.60 | | | | | | | | | | | (10934) op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | REF_CLOSE: (5), (10930), (10934), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | (10935) op(e0, e0) = all_57_31 & $i(all_57_31)
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | ALPHA: (10935) implies:
% 180.22/27.60 | | | | | | | | | | | (10936) op(e0, e0) = all_57_31
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | BETA: splitting (241) gives:
% 180.22/27.60 | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | (10937) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60 | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10937),
% 180.22/27.60 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | | | #1622.
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | (10938) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.22/27.60 | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 180.22/27.60 | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | BETA: splitting (10938) gives:
% 180.22/27.60 | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | (10939) all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | ALPHA: (10939) implies:
% 180.22/27.60 | | | | | | | | | | | | | (10940) op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (10940), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | (10941) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.22/27.60 | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.22/27.60 | | | | | | | | | | | | | $i(all_57_18))
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | BETA: splitting (10941) gives:
% 180.22/27.60 | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | (10942) all_57_31 = e0 & op(e0, e0) = e0
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | ALPHA: (10942) implies:
% 180.22/27.60 | | | | | | | | | | | | | | (10943) all_57_31 = e0
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | REDUCE: (10936), (10943) imply:
% 180.22/27.60 | | | | | | | | | | | | | | (10944) op(e0, e0) = e0
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10944), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | (10945) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.22/27.60 | | | | | | | | | | | | | | $i(all_57_18)
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | ALPHA: (10945) implies:
% 180.22/27.60 | | | | | | | | | | | | | | (10946) ~ (all_57_18 = e3)
% 180.22/27.60 | | | | | | | | | | | | | | (10947) op(e3, e0) = all_57_18
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.22/27.60 | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | (10948) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60 | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10948),
% 180.22/27.60 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | | | | | | #1622.
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | (10949) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.22/27.60 | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 180.22/27.60 | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | BETA: splitting (10949) gives:
% 180.22/27.60 | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | (10950) all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | ALPHA: (10950) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | (10951) op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (10951), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | (10952) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.22/27.60 | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.22/27.60 | | | | | | | | | | | | | | | | $i(all_57_21))
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | BETA: splitting (10952) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | (10953) all_57_31 = e0 & op(e0, e0) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | ALPHA: (10953) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | (10954) op(e0, e0) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10954), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | (10955) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.22/27.60 | | | | | | | | | | | | | | | | | $i(all_57_21)
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | ALPHA: (10955) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | (10956) ~ (all_57_21 = e2)
% 180.22/27.60 | | | | | | | | | | | | | | | | | (10957) op(e2, e0) = all_57_21
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | (10958) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10958),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.60 | | | | | | | | | | | | | | | | | | #1622.
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | (10959) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | BETA: splitting (10959) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | (10960) all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | ALPHA: (10960) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | (10961) op(e1, e1) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (10961), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | (10962) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (10962) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10963) all_57_31 = e0 & op(e0, e0) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | ALPHA: (10963) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10964) op(e0, e0) = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10964), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10965) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | ALPHA: (10965) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10966) ~ (all_57_24 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10967) op(e1, e0) = all_57_24
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (9590),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10936) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10968) all_57_31 = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | all_57_24, e0, e1, simplifying with (160), (10967)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10969) all_57_24 = all_52_14
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | all_57_21, e0, e2, simplifying with (164), (10957)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10970) all_57_21 = all_52_13
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | all_57_18, e0, e3, simplifying with (168), (10947)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10971) all_57_18 = all_52_12
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (10946), (10971) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10972) ~ (all_52_12 = e3)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (10966), (10969) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | (10973) ~ (all_52_14 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | (10974) ~ (all_18_2 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (10974) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | (10975) ~ (all_4_2 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | (10976) ~ (all_28_2 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (10976) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | (10977) ~ (all_10_2 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | (10978) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (9591), (9593), (10975),
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | (10977), (10978), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1269.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | (10979) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10979) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | (10980) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10980) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | (10981) op(e1, e1) = e1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10930), (10981), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | (10982) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10982) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10983) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10983) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10984) op(e0, e0) = e1
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10984), (function-axioms) are
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10985) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10985) implies:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10986) ~ (all_57_30 = e1)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | (10987) op(e1, e1) = all_57_30
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) all_54_5 = e3
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10988) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) all_10_2 = e3
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10989) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) $false
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10990) is inconsistent.
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) ~ (all_54_5 = e3)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10992) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) all_54_5 = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10993) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) all_10_2 = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (10994) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) ~ (all_52_4 = e2)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10994) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) ~ (e3 = e2)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10994) imply:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10997) op(e2, e2) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10998) gives:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10999) all_56_0 = e2 & op(e3, e3) = e2
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10999) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) op(e3, e3) = e2
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10997), (11000), (11001), (function-axioms)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #169.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11002) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11003) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11003) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11004) op(e1, e1) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11004), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11005) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11005) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11006) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11006) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11007) op(e0, e0) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11007), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11008) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11008) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11009) ~ (all_57_17 = e3)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11010) op(e3, e1) = all_57_17
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11011) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10997), (11000), (11011), (function-axioms)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #169.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11012) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11012) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11013) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) op(e1, e1) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11014), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11015) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11016) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) op(e0, e0) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11017), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11018) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) ~ (all_57_27 = e0)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) op(e0, e1) = all_57_27
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10997), (11000), (11021), (function-axioms)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #169.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11022) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11023) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) op(e1, e1) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11024), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11025) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11026) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) op(e0, e0) = e1
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11027), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11028) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11029) ~ (all_57_20 = e2)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11030) op(e2, e1) = all_57_20
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (11020)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11031) all_57_27 = all_52_11
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (10930),
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032) all_57_30 = e2
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (11030)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11033) all_57_20 = all_52_9
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (11010)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034) all_57_17 = all_52_8
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e2,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (36), (11000) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) all_4_2 = e2
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11009), (11034) imply:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) ~ (all_52_8 = e3)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11029), (11033) imply:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) ~ (all_52_9 = e2)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11019), (11031) imply:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) ~ (all_52_11 = e0)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10997), (11000), (11039), (function-axioms)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1542.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11040) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11041) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) op(e1, e1) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10930), (11042), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11044) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) op(e0, e0) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11045), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11046) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) ~ (all_57_25 = e0)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11048) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) all_56_0 = e3 & op(e3, e3) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11049) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) op(e3, e3) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11000), (11050), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1594.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) all_56_1 = e3 & op(e3, e2) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11051) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) op(e3, e2) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10997), (11000), (11053), (function-axioms)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1542.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & $i(all_57_19))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11054) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11055) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) op(e1, e1) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10930), (11056), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11057) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11058) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) op(e0, e0) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11059), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11060) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) ~ (all_57_19 = e2)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) op(e2, e3) = all_57_19
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10997), (11000), (11063), (function-axioms)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1542.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_22 & $i(all_57_22))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11064) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11065) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11066) op(e1, e1) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10930), (11066), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11067) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11067) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11068) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11068) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11069) op(e0, e0) = e3
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11069), (function-axioms) are
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11070) ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11070) implies:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11071) ~ (all_57_22 = e1)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11072) gives:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11073) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11073) gives:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11074) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11074) implies:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11075) ~ (all_57_28 = e2)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11076) op(e3, e3) = all_57_28
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e3, e3, simplifying with (11000),
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11076) gives:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11077) all_57_28 = e2
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11075), (11077) imply:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11078) $false
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11078) is inconsistent.
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11079) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11079) implies:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080) op(e3, e1) = e3
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11036), (11080), (function-axioms) are
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11081) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11081) gives:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11082) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11082) implies:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083) op(e3, e0) = e3
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (170), (201), (285), (11052),
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083), (function-axioms) are inconsistent by
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1089.
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11084) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11084) implies:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11085) op(e2, e3) = e2
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11061), (11062), (11085), (function-axioms) are
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11086) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11086) gives:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (11030), (11037), (11087),
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11088) gives:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11089) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11089) implies:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11090) all_57_22 = e1
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11071), (11090) imply:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11091) $false
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11091) is inconsistent.
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11092) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11093) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) ~ (all_57_30 = e2)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10930), (10987), (11094), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11095) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11096) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11096) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11097) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11097) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11098) op(e1, e0) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10966), (10967), (11098), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11099) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11099) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11100) ~ (all_57_15 = e0)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11101) op(e0, e2) = all_57_26
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102) op(e0, all_57_31) = all_57_15
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11103) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10968), (11102) imply:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11104) op(e0, e2) = all_57_15
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11103) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11105) all_57_31 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10973), (11096), (11105),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1583.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11106) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11106) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11107) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11107) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11108) all_57_25 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11047), (11108) imply:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11109) $false
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11109) is inconsistent.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11110) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11110) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11111) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11100), (11101), (11104), (11111),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11112) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11112) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11113) all_57_27 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11031), (11038), (11113) are inconsistent by
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #903.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11114) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (10972), (11036), (11114),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #803.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11115) all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11115) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11116) op(e3, e2) = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10995), (11116), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11117) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11117) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11118) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11118) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11119) op(e3, e1) = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11120) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (10975), (10997), (11120),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1267.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11121) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11121) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11122) all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11122) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11123) op(e1, e1) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11123), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11124) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11124) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11125) all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11125) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11126) op(e0, e0) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11126), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11127) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11127) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11128) op(e3, e1) = all_57_17
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (11128)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11129) all_57_17 = all_52_8
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (11119),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11128) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11130) all_57_17 = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11129), (11130) imply:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11131) all_52_8 = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11131) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11132) all_52_8 = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10929), (11132) imply:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11133) $false
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11133) is inconsistent.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11134) all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11134) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11135) all_56_9 = e2
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11136) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11137) all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11135), (11137) are inconsistent by
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1565.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11138) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11138) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11139) all_56_10 = e1
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11140) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11140) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141) all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11141) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142) op(e3, e0) = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10972), (11142), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143) all_56_10 = e3 & op(e2, e0) = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11143) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11144) all_56_10 = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (160), (210), (387), (10973),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11135), (11144), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1359.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11145) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11145) gives:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11146) all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11146) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147) all_56_11 = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (9590), (11135), (11139),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147), (function-axioms) are inconsistent by
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11148) all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11148) implies:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149) op(e0, e0) = e3
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11149), (function-axioms) are
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11150) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11150),
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151) all_54_5 = e1 | all_54_5 = e0
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (10977), (11151) are inconsistent
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1353.
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11152) all_28_2 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (11152) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11153) all_10_2 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (11153) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11154) ~ (all_52_6 = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (11153) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11155) ~ (all_52_9 = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (11153) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11156) ~ (all_52_13 = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (11153) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11157) ~ (e3 = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (11153) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | (11158) op(e2, e2) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | (11159) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11159) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | (11160) all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11160) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | (11161) all_56_2 = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | (11162) op(e2, e3) = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | (11163) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11163) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) all_56_6 = e1 & op(e1, e3) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11164) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) all_56_6 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) op(e1, e3) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11167) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11168) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11169) all_56_1 = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11170) op(e3, e2) = e2
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11171) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (11162), (11171),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1181.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11172) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) all_56_6 = e0 & op(e1, e3) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11173) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) op(e1, e3) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11166), (11174), (function-axioms) are
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) all_56_12 = e0 & op(e0, e3) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11175) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) all_56_12 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) op(e0, e3) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11178) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11179) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) all_56_9 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) op(e3, e0) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (11169), (11182),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #247.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11183) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11184) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) op(e3, e1) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (11155), (11185), (11186),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #707.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11187) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) all_56_8 = e1 & op(e1, e1) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11188) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) op(e1, e1) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10930), (11189), (function-axioms) are
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) all_56_14 = e1 & op(e0, e1) = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11190) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) all_56_14 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11192) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) all_56_4 = e3 & op(e3, e1) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11193) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) op(e3, e1) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (11185), (11194), (function-axioms)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1577.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) all_56_5 = e3 & op(e2, e1) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11195) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) all_56_5 = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) op(e2, e1) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (11158), (11162), (11198),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1309.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11199) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_56_5 = e0 & op(e2, e1) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11200) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) all_56_5 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11196), (11201) are inconsistent by
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1410.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) all_56_10 = e0 & op(e2, e0) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11202) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) all_56_10 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) op(e2, e0) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (10972), (11203), (11205),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11206) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11207) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) all_56_11 = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) op(e1, e0) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11210) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_56_6 = e0 & op(e1, e3) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11211) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) all_56_6 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) op(e1, e3) = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (231), (233),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (10975), (11176), (11177), (11212),
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213), (function-axioms) are inconsistent by
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #703.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (11209) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) all_52_14 = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (11204) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) all_52_13 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (11181) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) all_52_12 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10969), (11214) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) all_57_24 = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10970), (11215) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) all_57_21 = e0
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10971), (11216) imply:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_57_18 = e1
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11220) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11221) gives:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11222) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) op(e3, e2) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11170), (11223), (function-axioms) are
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #166.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) op(e3, e1) = e3
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (11185), (11225), (function-axioms)
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1577.
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11226) gives:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11227) implies:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) op(e3, e0) = e3
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10972), (11228), (function-axioms) are
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11229) implies:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) ~ (all_57_7 = e0)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) op(e2, all_57_21) = all_57_7
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11218), (11231) imply:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) op(e2, e0) = all_57_7
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_57_7,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (11204), (11232) gives:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) all_57_7 = e0
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11230), (11233) imply:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) $false
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11234) is inconsistent.
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11235) gives:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (9571), (11197), (11236),
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11237) gives:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11238) implies:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) op(e3, e1) = e1
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11185), (11239), (function-axioms) are
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11240) gives:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11241) implies:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) op(e2, e1) = e1
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11197), (11242), (function-axioms) are
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11243) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (10966), (10967), (10968),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973), (11217), (11219), (11244),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11245) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) all_56_8 = e0 & op(e1, e1) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11246) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) op(e1, e1) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (10928), (11165),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208), (11247), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1214.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11208), (11248) are inconsistent by
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1203.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11249) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) op(e0, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11250), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10930), (11191), (11251),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #907.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11252) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) all_56_9 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11180), (11253) are inconsistent by
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11254) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_56_10 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (11158),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11161), (11162), (11255), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #770.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11256),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11257) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) op(e2, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (11155), (11161), (11162), (11258),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1406.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (10928), (11259),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | #165.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_56_7 = e1 & op(e1, e2) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11260) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) op(e1, e2) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11154), (11261), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #834.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11262) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11262) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) all_56_8 = e1 & op(e1, e1) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11263) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) op(e1, e1) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10930), (11264), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1473.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) all_56_11 = e1 & op(e1, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11265) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11266) op(e1, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10966), (10967), (11266), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1423.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11267) all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11267) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11268) op(e2, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11158), (11268), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | (11269) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11269) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11270) all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11270) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11271) all_56_5 = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11272) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11272) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11273) all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11273) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11274) all_56_1 = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11275) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11275) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11276) all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11276) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11277) all_56_9 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11278) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (11274), (11278),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #247.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11279) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11279) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11280) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11280) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281) all_56_4 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (10930),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11271), (11281), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #932.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282) all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11282) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11283) all_56_9 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11277), (11283) are inconsistent by
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1484.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11284) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11284) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285) op(e2, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11156), (11285), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11286) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11286),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11287) all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11287) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11288) op(e2, e2) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11158), (11288), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1487.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11289) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (10928), (11289),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | #165.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11290) all_56_10 = e2 & op(e2, e0) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11290) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11291) op(e2, e0) = e2
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10956), (10957), (11291), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | (11292) all_18_2 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (11292) imply:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | (11293) all_4_2 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | SIMP: (11293) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | (11294) all_4_2 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (11294) imply:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | (11295) all_40_2 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (11294) imply:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | (11296) ~ (all_52_2 = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (11294) imply:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | (11297) op(e3, e3) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | (11298) ~ (all_40_2 = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11295), (11298) imply:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | (11299) $false
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11299) is inconsistent.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | (11300) ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | (11301) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11301) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11302) all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11302) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11303) all_56_9 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (386), (11297), (11303),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | #1103.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11304) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11304) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | (11305) all_56_10 = e1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11300) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11306) ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10930), (11306), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #701.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11307) ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11307) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11308) ~ (all_40_1 = e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | (11309) op(e1, e3) = all_40_1
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11310) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11310) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11311) all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11311) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11312) op(e3, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10972), (11312), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11313) all_56_10 = e3 & op(e2, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11305), (11313) are inconsistent by
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1141.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (11314) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11314) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11315) all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11315) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11316) all_56_11 = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11317) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (10930), (11296),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11308), (11309), (11316), (11317),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #662.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11318) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11318) gives:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11319) all_56_8 = e0 & op(e1, e1) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11319) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11320) op(e1, e1) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (11320), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11321) all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11321) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11322) all_56_11 = e0
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11316), (11322) are inconsistent by
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1163.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11323) all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11323) implies:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11324) op(e0, e0) = e3
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11324), (function-axioms) are
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | (11325) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11325),
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | | #222.
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | | |
% 180.22/27.66 | | | | | | | | | End of split
% 180.22/27.66 | | | | | | | | |
% 180.22/27.66 | | | | | | | | End of split
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | Case 2:
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | (11326) all_12_2 = e0
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | COMBINE_EQS: (335), (11326) imply:
% 180.22/27.66 | | | | | | | | (11327) all_10_2 = e0
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (362), (11327) imply:
% 180.22/27.66 | | | | | | | | (11328) ~ (all_52_1 = e0)
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (365), (11327) imply:
% 180.22/27.66 | | | | | | | | (11329) ~ (all_52_4 = e0)
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (367), (11327) imply:
% 180.22/27.66 | | | | | | | | (11330) ~ (all_52_6 = e0)
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (369), (11327) imply:
% 180.22/27.66 | | | | | | | | (11331) ~ (all_52_7 = e0)
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (371), (11327) imply:
% 180.22/27.66 | | | | | | | | (11332) ~ (all_52_9 = e0)
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (373), (11327) imply:
% 180.22/27.66 | | | | | | | | (11333) ~ (all_52_13 = e0)
% 180.22/27.66 | | | | | | | |
% 180.22/27.66 | | | | | | | | REDUCE: (9591), (11327) imply:
% 180.22/27.67 | | | | | | | | (11334) ~ (e3 = e0)
% 180.22/27.67 | | | | | | | |
% 180.22/27.67 | | | | | | | | BETA: splitting (221) gives:
% 180.22/27.67 | | | | | | | |
% 180.22/27.67 | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | |
% 180.22/27.67 | | | | | | | | | (11335) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 180.22/27.67 | | | | | | | | | & op(e2, e2) = e0)
% 180.22/27.67 | | | | | | | | |
% 180.22/27.67 | | | | | | | | | BETA: splitting (11335) gives:
% 180.22/27.67 | | | | | | | | |
% 180.22/27.67 | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | (11336) all_56_2 = e0 & op(e2, e3) = e0
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | REF_CLOSE: (167), (11328), (11336), (function-axioms) are
% 180.22/27.67 | | | | | | | | | | inconsistent by sub-proof #930.
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | (11337) all_56_3 = e0 & op(e2, e2) = e0
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | ALPHA: (11337) implies:
% 180.22/27.67 | | | | | | | | | | (11338) all_56_3 = e0
% 180.22/27.67 | | | | | | | | | | (11339) op(e2, e2) = e0
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | BETA: splitting (52) gives:
% 180.22/27.67 | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | (11340) ~ (all_14_2 = e2)
% 180.22/27.67 | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | BETA: splitting (55) gives:
% 180.22/27.67 | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | (11341) ~ (all_16_2 = e3)
% 180.22/27.67 | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | REDUCE: (338), (11341) imply:
% 180.22/27.67 | | | | | | | | | | | | (11342) ~ (all_14_2 = e3)
% 180.22/27.67 | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | BETA: splitting (58) gives:
% 180.22/27.67 | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | (11343) ~ (all_18_2 = e1)
% 180.22/27.67 | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | REDUCE: (342), (11343) imply:
% 180.22/27.67 | | | | | | | | | | | | | (11344) ~ (all_4_2 = e1)
% 180.22/27.67 | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 180.22/27.67 | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | (11345) ~ (all_22_2 = e2)
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | REDUCE: (9569), (11345) imply:
% 180.22/27.67 | | | | | | | | | | | | | | (11346) $false
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | CLOSE: (11346) is inconsistent.
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | (11347) ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.67 | | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 180.22/27.67 | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 180.22/27.67 | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | (11348) ~ (all_26_2 = e0)
% 180.22/27.67 | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | REDUCE: (318), (11348) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | (11349) ~ (all_14_2 = e0)
% 180.22/27.67 | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 180.22/27.67 | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | (11350) all_54_10 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | REF_CLOSE: (349), (11342), (11350) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | sub-proof #1621.
% 180.22/27.67 | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | (11351) ~ (all_54_10 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | (11352) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | BETA: splitting (11352) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | (11353) all_54_10 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (11340), (11353) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | sub-proof #1620.
% 180.22/27.67 | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | (11354) ~ (all_54_10 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | (11355) all_54_10 = e1 | all_54_10 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | BETA: splitting (11355) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11356) all_54_10 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (11356) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11357) all_14_2 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | SIMP: (11357) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11358) all_14_2 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (363), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11359) ~ (all_52_2 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (374), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11360) ~ (all_52_6 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (376), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11361) ~ (all_52_8 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (377), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11362) ~ (all_52_9 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (379), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11363) ~ (all_52_11 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (381), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11364) ~ (all_52_14 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (11342), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11365) ~ (e3 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (11340), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11366) ~ (e2 = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | REDUCE: (51), (11358) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | (11367) op(e1, e1) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | (11368) ~ (all_30_2 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | REDUCE: (343), (11368) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | (11369) ~ (all_4_2 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11370) all_54_0 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (11370) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11371) all_4_2 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (11371) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11372) ~ (all_52_1 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (11371) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11373) ~ (all_52_2 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (11371) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11374) ~ (all_52_4 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (11371) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11375) ~ (all_52_8 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (11371) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11376) ~ (all_52_12 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (11371) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | (11377) op(e3, e3) = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | (11378) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11378) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | (11379) all_56_0 = e3 & op(e3, e3) = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11379) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | (11380) all_56_0 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | (11381) all_54_13 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11381) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | (11382) all_52_7 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11382) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | (11383) ~ (all_52_6 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11382) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | (11384) ~ (all_52_11 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11384) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | (11385) ~ (all_52_11 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | (11386) all_54_14 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11385), (11386) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1259.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | (11387) ~ (all_54_14 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | (11388) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11388) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (11389) all_54_14 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (11389) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1234.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | (11390) all_54_14 = e1 | all_54_14 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11390) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11391) all_54_14 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11363), (11391) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1307.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11392) all_54_14 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (11392) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11393) all_52_11 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11393) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11394) all_52_11 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11394) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11395) ~ (all_52_8 = e0)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11363), (11394) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (11396) ~ (e1 = e0)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397) all_54_2 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (11397) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) all_52_8 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11375), (11398) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) $false
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11399) is inconsistent.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) ~ (all_54_2 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) all_54_9 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11383), (11402) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1061.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) ~ (all_54_9 = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11404) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) all_54_9 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11405) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) all_52_6 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11406) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) all_52_6 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11407) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) ~ (all_52_2 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11407) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) ~ (all_52_4 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11383), (11407) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) ~ (e3 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11411) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) all_56_12 = e3 & op(e0, e3) = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11412) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) all_56_12 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) op(e0, e3) = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (163),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (229), (231), (233), (294), (386), (11344),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359), (11369), (11377), (11413), (11414),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #164.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) all_56_13 = e3 & op(e0, e2) = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11415) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) all_56_13 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11417) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) all_56_0 = e2 & op(e3, e3) = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11418) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) op(e3, e3) = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (11344), (11369),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419), (function-axioms) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1350.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) all_56_2 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) all_54_8 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11422) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) all_52_2 = e3
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11373), (11423) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11424) $false
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11424) is inconsistent.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369), (11409), (11426), (function-axioms) are
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11427) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11428) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) all_56_4 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11430) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) all_56_0 = e1 & op(e3, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11431) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) op(e3, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11377), (11432), (function-axioms) are
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) all_56_2 = e1 & op(e2, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (11332), (11367), (11421), (11429),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433), (function-axioms) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #463.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11434) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) all_56_6 = e1 & op(e1, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11435) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) all_56_6 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437) op(e1, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (215),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (11330), (11367), (11436), (11437),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #161.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_56_12 = e1 & op(e0, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11438) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11439) op(e0, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11425) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440) all_54_8 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11440) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11441) all_52_2 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11408), (11441) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11442) $false
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11442) is inconsistent.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11443) all_54_8 = e1 | all_54_8 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11444) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (11444),
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11445) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11445) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11446) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11429), (11446) are inconsistent by
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11447) all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11447) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11448) all_56_9 = e0
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11449) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11449) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11450) all_56_0 = e1 & op(e3, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11450) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451) op(e3, e3) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11377), (11451), (function-axioms) are
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452) all_56_1 = e1 & op(e3, e2) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11452) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11453) op(e3, e2) = e1
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11401) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11454) all_54_2 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (11454) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11455) all_52_8 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11455) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) all_52_8 = e2
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11456) imply:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) ~ (all_52_9 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11457) implies:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) ~ (all_52_9 = e2)
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11459) gives:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (11372), (11375), (11460),
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11461) gives:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11462) implies:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) op(e0, e3) = e3
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (11439), (11463), (function-axioms)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1529.
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11464) implies:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) op(e3, e2) = e2
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11453), (11465), (function-axioms) are
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1424.
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11466) gives:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (198), (276), (9571), (11332),
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458), (11467), (function-axioms) are
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1038.
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11468) gives:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11469) implies:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) op(e3, e1) = e1
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11361), (11470), (function-axioms) are
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11471) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11472) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) op(e2, e1) = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (213), (215), (216), (223), (224),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (386), (387), (11329), (11330), (11338),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339), (11367), (11421), (11429), (11473),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #483.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11474) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (164), (274), (11333), (11359),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11364), (11439), (11443), (11475),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #792.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) all_54_2 = e1 | all_54_2 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (11361), (11395), (11476) are inconsistent
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1324.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (11332), (11367), (11448), (11477),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #573.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11478) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) all_56_9 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (164),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (170), (206), (213), (215), (216), (217),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (229), (230), (231), (232), (233),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (386), (9589), (11329), (11330), (11332),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11333), (11344), (11367), (11377), (11383),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421), (11479), (function-axioms) are
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #158.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11480) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11480) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11481) all_56_6 = e2 & op(e1, e3) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11481) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) all_56_6 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11483) op(e1, e3) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11484) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369), (11409), (11484), (function-axioms) are
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11485) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11485) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11486) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11486) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11487) all_56_4 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11488) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (170), (225), (11329), (11330),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409), (11416), (11488), (function-axioms) are
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #157.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11489) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11489) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11490) all_56_7 = e2 & op(e1, e2) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11490) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491) all_56_7 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11492) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (11492),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11493) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11493) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11494) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11487), (11494) are inconsistent by
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11495) all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11495) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11496) all_56_9 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11497) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11497) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11498) all_56_0 = e1 & op(e3, e3) = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11498) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11499) op(e3, e3) = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11377), (11499), (function-axioms) are
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11500) all_56_1 = e1 & op(e3, e2) = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11500) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11501) all_56_1 = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11502) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11502) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11503) all_56_6 = e0 & op(e1, e3) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11503) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11504) all_56_6 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11482), (11504) imply:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11505) e2 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11505) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11506) e2 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11487), (11506) imply:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11507) all_56_4 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (11377), (11496), (11501),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11507), (function-axioms) are inconsistent by
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1392.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11508) all_56_7 = e0 & op(e1, e2) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11330), (11508), (function-axioms) are
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11509) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11509) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11510) all_56_8 = e0 & op(e1, e1) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11510) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11511) op(e1, e1) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (11349), (11355), (11511),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1617.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11512) all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11512) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11513) all_56_11 = e0
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (11367), (11482), (11491),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11513), (function-axioms) are inconsistent by
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #452.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11514) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (11332), (11367), (11496), (11514),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #548.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11515) all_56_13 = e2 & op(e0, e2) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11515) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11516) op(e0, e2) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (11516), (function-axioms) are
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11517) all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11517) implies:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11518) all_56_9 = e2
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11519) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (11383), (11483), (11519),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11520) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (217), (219), (220), (230), (232),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (386), (9589), (11329), (11332), (11333),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11344), (11367), (11377), (11518), (11520),
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159.
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11521) all_56_12 = e2 & op(e0, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11521) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11522) all_56_12 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11523) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11523) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11524) all_56_4 = e3 & op(e3, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11524) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) all_56_4 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (165), (170),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (230), (232), (234), (386),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11329), (11332), (11344), (11367), (11380),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11525), (function-axioms) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #563.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11526) all_56_5 = e3 & op(e2, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11526) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11527) op(e2, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11528) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11528) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11529) all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11529) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11530) all_56_2 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11531) op(e2, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (229), (231), (386), (11344),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11522), (11530), (11531), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #988.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11532) all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11532) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11533) op(e2, e2) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (170), (225), (11329), (11330),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416), (11533), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #896.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11534) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (9574), (11527), (11534),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #155.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11535) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11535) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11536) all_56_8 = e3 & op(e1, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11536) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537) op(e1, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11537), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11538) all_56_14 = e3 & op(e0, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11538) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539) all_56_14 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (160),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (170), (204), (210), (217), (223),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (234), (294), (386),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (9574), (11332), (11339), (11344), (11364),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367), (11369), (11377), (11409), (11522),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539), (function-axioms) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11540) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11540) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541) all_56_14 = e3 & op(e0, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11541) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542) all_56_14 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11543) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11543) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11544) all_56_0 = e2 & op(e3, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11544) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545) op(e3, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (11344), (11369),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545), (function-axioms) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1350.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11546) all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11546) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547) all_56_2 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11548) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369), (11409), (11548), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11549) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11549) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11550) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11550) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11551) all_56_4 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (11332), (11367),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542), (11551), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1067.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11552) all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11552) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11553) all_56_9 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (164),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (170), (206), (213), (215), (216), (217),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (229), (230), (231), (232), (233),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (386), (9589), (11329), (11330), (11332),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11333), (11344), (11367), (11377), (11383),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547), (11553), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #158.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11554) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11554) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) all_56_6 = e2 & op(e1, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11555) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) op(e1, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11557) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369), (11409), (11557), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11558) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11558) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11559) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11559) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11560) all_56_4 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (11332), (11367),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542), (11560), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1067.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561) all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11561) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562) all_56_9 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11563) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11563) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11564) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11564) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565) all_56_4 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (11383), (11556), (11566),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11567) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) all_56_8 = e3 & op(e1, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11568) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) op(e1, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (11542),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565), (11569), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #813.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11570) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) all_56_11 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (217), (219), (220), (232), (234), (9589),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11332), (11333), (11344), (11367), (11377),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562), (11565), (11571), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #160.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) all_56_5 = e0 & op(e2, e1) = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (11572), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (349), (11349), (11355), (11542),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573), (function-axioms) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #153.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) all_56_12 = e2 & op(e0, e3) = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11574) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) all_56_12 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (160),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (170), (204), (210), (217), (223),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (234), (294), (386),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (9574), (11332), (11339), (11344), (11364),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367), (11369), (11377), (11409), (11542),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575), (function-axioms) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11576) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) op(e0, e0) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11577), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) all_54_9 = e1 | all_54_9 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11330), (11360), (11578) are inconsistent
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1320.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | (11579) ~ (all_54_13 = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | (11580) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (11579) imply:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | (11581) ~ (all_52_7 = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | (11582) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11582) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11583) all_56_12 = e3 & op(e0, e3) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11583) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11584) all_56_12 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11585) op(e0, e3) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (163),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (229), (231), (233), (294), (386), (11344),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11359), (11369), (11377), (11584), (11585),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | #164.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_56_13 = e3 & op(e0, e2) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11587) all_56_13 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_54_13 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (11588) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) ~ (all_54_13 = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) all_54_13 = e1 | all_54_13 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11590) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) all_54_13 = e1
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11591) imply:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) all_52_7 = e1
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11592) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) all_52_7 = e1
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11593) imply:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) ~ (all_52_3 = e1)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (165),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (217), (219), (220), (387), (11332),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367), (11587), (11594), (function-axioms) are
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #191.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) all_54_13 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11331), (11595) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | (11596) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11596) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_56_14 = e3 & op(e0, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11597) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_56_14 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | (11599) op(e0, e1) = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) all_54_13 = e2
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (11600) are inconsistent by
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) ~ (all_54_13 = e2)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) all_54_13 = e1 | all_54_13 = e0
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11602) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) all_54_13 = e1
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11603) imply:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) all_52_7 = e1
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11604) implies:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) all_52_7 = e1
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11605) imply:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) ~ (all_52_3 = e1)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11605) imply:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) ~ (all_52_4 = e1)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (11339), (11374), (11608),
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152.
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11609) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) all_56_7 = e3 & op(e1, e2) = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11610) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) all_56_7 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11612) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_56_12 = e1 & op(e0, e3) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11606), (11613), (function-axioms) are
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) all_56_13 = e1 & op(e0, e2) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11614) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) all_56_13 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) op(e0, e2) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) all_54_1 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (11617) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) all_52_4 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11374), (11618) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) $false
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11619) is inconsistent.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) all_54_1 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (11621) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) all_52_4 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11622) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) ~ (all_52_6 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11623) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) ~ (all_52_6 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11622) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) ~ (all_52_8 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11625) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) ~ (all_52_8 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (11622) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) ~ (all_52_12 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) all_54_9 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11628) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) all_52_6 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11629) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) all_52_6 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11630) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) ~ (all_52_14 = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11631) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) ~ (all_52_14 = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_54_11 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (11632), (11633) are inconsistent by
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) ~ (all_54_11 = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) all_54_2 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (11636) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) all_52_8 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11375), (11637) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) $false
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11638) is inconsistent.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) ~ (all_54_2 = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11641) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11642) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) all_56_4 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (11332), (11367),
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598), (11643), (function-axioms) are
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1067.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11644) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) op(e2, e1) = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11646) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11647) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) op(e3, e0) = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11376), (11648), (function-axioms) are
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) all_56_10 = e3 & op(e2, e0) = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11649) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) all_56_10 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) op(e2, e0) = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11652) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11653) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_56_9 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11655) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11656) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) op(e3, e1) = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11658) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11659) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) all_56_1 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11635) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_54_11 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (11661) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) all_52_14 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (11662) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) $false
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11663) is inconsistent.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) ~ (all_54_11 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) all_54_11 = e1 | all_54_11 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11665) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) all_54_11 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (11666) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) all_52_14 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11364), (11667) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) $false
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11668) is inconsistent.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) all_54_11 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (11669) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) all_52_14 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11670) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) ~ (all_52_12 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (11670) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) ~ (e2 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11364), (11670) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) ~ (e1 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11640) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) all_54_2 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (11626), (11674) are inconsistent by
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1480.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) all_54_2 = e1 | all_54_2 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) all_54_3 = e3
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (11376), (11676) are inconsistent by
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #809.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) ~ (all_54_3 = e3)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11678) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) all_54_3 = e2
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (11679) are inconsistent by
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #748.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) ~ (all_54_3 = e2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) all_54_3 = e1 | all_54_3 = e0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11682) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) all_56_2 = e1 & op(e2, e3) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11683) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) op(e2, e3) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11681) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) all_54_3 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (11685) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) all_52_12 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11686) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) all_52_12 = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11687) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) ~ (all_52_13 = e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11688) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) ~ (all_52_13 = e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11687) imply:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) op(e3, e0) = e1
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11347) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11691) implies:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) ~ (all_22_0 = e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) op(e2, e2) = all_22_0
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11694) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (286), (11361), (11372), (11375),
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675), (11695), (function-axioms) are
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #232.
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11696) gives:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11697) implies:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) op(e3, e0) = e3
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11376), (11698), (function-axioms) are
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11699) implies:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) op(e2, e3) = e2
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (197), (198), (227), (275), (276),
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574), (11332), (11333), (11339), (11362),
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611), (11615), (11645), (11660), (11684),
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689), (11700), (function-axioms) are
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11701) gives:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11702) gives:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_21) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11703) implies:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) op(e1, e2) = e2
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11624), (11704), (function-axioms) are
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1614.
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_6 = e1) & ~ (all_57_29 = e0) & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19) = all_57_4 & op(e2, all_57_20) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11705) implies:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) op(e0, e2) = e2
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11616), (11706), (function-axioms) are
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #279.
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11707) gives:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11708) implies:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) op(e3, e1) = e1
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11657), (11709), (function-axioms) are
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1571.
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11710) gives:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11711) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) op(e2, e1) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11362), (11712), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11713) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) op(e0, e1) = all_57_27
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11715) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11716) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) op(e1, e0) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11364), (11717), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1609.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11718) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (11599),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) all_57_27 = e3
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_0,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (11339), (11693) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) all_22_0 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11719) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) all_57_31 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11364), (11715), (11722),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1583.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (39), (51), (113), (160), (164),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (241), (285), (349), (386), (387), (11333),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11349), (11355), (11364), (11654), (11671),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681), (11690), (11715), (11720), (11723),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11724) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) ~ (all_22_1 = e3)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726) op(e2, e0) = all_22_1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11651), (11725), (11726), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #197.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11727) all_54_3 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (11671), (11727) are inconsistent by
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #828.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728) all_56_3 = e1 & op(e2, e2) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11728) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11729) op(e2, e2) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11730) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11730) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11731) all_56_1 = e0 & op(e3, e2) = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11731) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) all_56_1 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (162), (227), (11615), (11624), (11729),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732), (function-axioms) are inconsistent by
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1245.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11339), (11729), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11733) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) all_56_7 = e0 & op(e1, e2) = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11611), (11734) are inconsistent by
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #967.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) all_56_13 = e0 & op(e0, e2) = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11735) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) op(e0, e2) = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11331), (11736), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1463.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11737) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) all_56_5 = e1 & op(e2, e1) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11738) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) op(e2, e1) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11362), (11739), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11740) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) op(e2, e0) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (285), (11671), (11681), (11741),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11742) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) op(e2, e2) = e2
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (158), (170), (225), (11329), (11331),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611), (11743), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (11616), (11624), (11744),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #230.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) all_56_5 = e0 & op(e2, e1) = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11745) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) op(e2, e1) = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11645), (11746), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (349), (11349), (11355), (11598),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747), (function-axioms) are inconsistent by
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #153.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11748) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) all_56_10 = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11650), (11749) imply:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11750) e3 = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11598), (11750) imply:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11751) all_56_14 = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (11332), (11367), (11751),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #599.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11752) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (213),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (387), (11330), (11367), (11752),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #543.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11753) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (11632), (11753),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11754) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9572), (11367), (11754),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11755) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11330), (11360), (11624), (11755) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11756) all_54_1 = e1 | all_54_1 = e0
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (11329), (11607), (11756) are inconsistent
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1058.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11757) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (217),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (387), (11332), (11367), (11757),
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #595.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11758) all_56_13 = e3 & op(e0, e2) = e3
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11758) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11759) all_56_13 = e3
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11760) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11760) gives:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11761) all_56_12 = e1 & op(e0, e3) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11606), (11761), (function-axioms) are
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1106.
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11762) all_56_13 = e1 & op(e0, e2) = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11762) implies:
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11763) all_56_13 = e1
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11759), (11763) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11764) e3 = e1
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11764) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11765) e3 = e1
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11598), (11765) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11766) all_56_14 = e1
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (11332), (11367), (11766),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #599.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11767) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (217),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (387), (11332), (11367), (11767),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #595.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768) all_54_13 = e0
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11331), (11768) are inconsistent by
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11769) all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11769) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11770) op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11770), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11771) all_56_2 = e3 & op(e2, e3) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11771) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11772) all_56_2 = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11773) op(e2, e3) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (229),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (231), (233), (386), (11359), (11377), (11772),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11773), (function-axioms) are inconsistent by
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1587.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | (11774) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11774) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11775) all_56_6 = e3 & op(e1, e3) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11775) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11776) op(e1, e3) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11373), (11776), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #855.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11777) all_56_12 = e3 & op(e0, e3) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11777) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11778) all_56_12 = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11779) op(e0, e3) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (163),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (204), (229), (231), (233), (294), (386), (11344),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11359), (11369), (11377), (11778), (11779),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | #164.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (11780) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (11344), (11369), (11780) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11781) all_30_2 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (11781) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11782) all_4_2 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | SIMP: (11782) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11783) all_4_2 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (11783) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11784) all_48_2 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (11783) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11785) ~ (all_52_1 = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | REDUCE: (357), (11783) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11786) ~ (all_52_4 = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (11783) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | (11787) op(e3, e3) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (11788) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (159),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (162), (165), (169), (170), (210), (213), (215),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (216), (217), (219), (220), (222), (223), (224),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (235), (386), (387), (11329),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (11330), (11332), (11338), (11339), (11367),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (11787), (11788), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | (11789) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11789) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | (11790) all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11790) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | (11791) op(e2, e1) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11792) ~ (all_48_2 = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11784), (11792) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11793) $false
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11793) is inconsistent.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | (11794) ( ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e2, e3)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | (11795) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11795) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | (11796) all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11796) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | (11797) op(e3, e2) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11786), (11797), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | (11798) all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11798) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | (11799) op(e2, e2) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11339), (11799), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | (11800) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11800) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | (11801) all_56_7 = e2 & op(e1, e2) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11801) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | (11802) op(e1, e2) = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11794) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11803) ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11803) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11804) ~ (all_48_0 = e0)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11805) op(e2, e2) = all_48_0
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (11339), (11805) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11806) all_48_0 = e0
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11804), (11806) imply:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11807) $false
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11807) is inconsistent.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11808) ~ (all_48_1 = e1) & op(e2, e3) = all_48_1 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11808) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11809) ~ (all_48_1 = e1)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | (11810) op(e2, e3) = all_48_1
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (11811) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11811),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (11812) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11812) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11813) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11813) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11814) op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11814), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11815) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11815) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11816) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11816) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11817) op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11817), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11818) ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11818) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11819) ~ (all_57_25 = e0)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11820) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11820),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11821) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & $i(all_57_19))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11821) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11822) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11822) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11823) op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11823), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11824) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11824) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11825) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11825) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11826) op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11826), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11827) ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11827) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) op(e2, e3) = all_57_19
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11829) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11829),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11830) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_22 & $i(all_57_22))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11830) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11831) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832) op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11832), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11833) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11833) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11834) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11835) op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11835), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11836) ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11836) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11837) ~ (all_57_22 = e1)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11838) op(e1, e3) = all_57_22
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11839),
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & $i(all_57_28))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11840) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11841) all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11841) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11842) op(e1, e1) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11842), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11843) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11843) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11844) all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11844) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11845) op(e0, e0) = e3
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11845), (function-axioms) are
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11846) ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11846) implies:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) op(e3, e3) = all_57_28
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (11802) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11848) all_52_6 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e3, e1, simplifying with (163), (11838)
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11849) all_57_22 = all_52_2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (11791) gives:
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850) all_52_9 = e2
% 180.22/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 180.61/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e3, e2, simplifying with (167), (11828)
% 180.61/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.61/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11851) all_57_19 = all_52_1
% 180.61/27.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_48_1,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e3, e2, simplifying with (11810),
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11852) all_57_19 = all_48_1
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e3, e3, simplifying with (11787),
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11853) all_57_28 = e2
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11851), (11852) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11854) all_52_1 = all_48_1
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (11854) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11855) all_54_4 = all_48_1
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11854) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11856) ~ (all_52_2 = all_48_1)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11856) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857) ~ (all_52_2 = all_48_1)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11785), (11854) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) ~ (all_48_1 = e2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11328), (11854) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11859) ~ (all_48_1 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11848) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11860) ~ (all_52_2 = e2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11848) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11861) ~ (all_52_7 = e2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11848) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11862) ~ (all_52_14 = e2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11863) all_54_4 = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11855), (11863) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11864) all_48_1 = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11864) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11865) all_48_1 = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11857), (11865) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11866) ~ (all_52_2 = e3)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11810), (11865) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11867) op(e2, e3) = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11868) all_54_8 = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11866), (11868) are inconsistent by
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11869) ~ (all_54_8 = e3)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11870) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11870) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11871) all_54_8 = e2
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11860), (11871) are inconsistent by
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1240.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11872) all_54_8 = e1 | all_54_8 = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11873) all_56_15 = e0 & op(e0, e0) = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11873) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11874) all_56_15 = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9589), (11874) are inconsistent by sub-proof
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #920.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11875) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11875) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11876) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11872) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11877) all_54_8 = e1
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11359), (11877) are inconsistent by
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #952.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11878) all_54_8 = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11878) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11879) all_52_2 = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11879) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11880) all_52_2 = e0
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11880) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11881) ~ (all_52_14 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11881) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882) ~ (all_52_14 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11883) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11883) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11884) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11884) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11885) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11885) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11886) ~ (all_57_28 = e2)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11853), (11886) imply:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887) $false
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11887) is inconsistent.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11888) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11889) op(e1, e3) = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (193), (265), (9575), (11364),
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882), (11889), (function-axioms) are
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #264.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11890) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11890) gives:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11891) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11891) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892) op(e3, e0) = e3
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (164), (11333), (11876), (11882),
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892), (function-axioms) are inconsistent by
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #730.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11893) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11893) implies:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11894) op(e3, e2) = e2
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11786), (11894), (function-axioms) are
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1382.
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11895) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11895) gives:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11896) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (11867), (11896), (function-axioms)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #830.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11897) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11897) gives:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11898) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11898) implies:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11899) op(e3, e1) = e1
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11361), (11899), (function-axioms) are
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11900) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11900) gives:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11901) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11901) implies:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11902) op(e2, e1) = e1
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11362), (11902), (function-axioms) are
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11903) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11903) implies:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11904) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11333), (11364), (11819), (11882),
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11904), (function-axioms) are inconsistent by
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1279.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11905) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11809), (11855), (11858), (11859), (11905) are
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #464.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | (11906) all_56_13 = e2 & op(e0, e2) = e2
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11906) implies:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | (11907) op(e0, e2) = e2
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (11907), (function-axioms) are
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | (11908) all_56_10 = e2 & op(e2, e0) = e2
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11908) implies:
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | (11909) op(e2, e0) = e2
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9574), (11909), (function-axioms) are
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1562.
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | (11910) all_54_10 = e0
% 180.61/27.76 | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (11349), (11910) are inconsistent by
% 180.61/27.76 | | | | | | | | | | | | | | | | | | sub-proof #1618.
% 180.61/27.76 | | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | End of split
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | (11911) all_26_2 = e0
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | COMBINE_EQS: (318), (11911) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | (11912) all_14_2 = e0
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | SIMP: (11912) implies:
% 180.61/27.76 | | | | | | | | | | | | | | | (11913) all_14_2 = e0
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | COMBINE_EQS: (309), (11913) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | (11914) all_44_2 = e0
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | REDUCE: (379), (11913) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | (11915) ~ (all_52_11 = e0)
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | REDUCE: (381), (11913) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | (11916) ~ (all_52_14 = e0)
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | REDUCE: (11340), (11913) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | (11917) ~ (e2 = e0)
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | REDUCE: (51), (11913) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | (11918) op(e1, e1) = e0
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 180.61/27.76 | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76 | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | (11919) ~ (all_44_2 = e0)
% 180.61/27.76 | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | REDUCE: (11914), (11919) imply:
% 180.61/27.76 | | | | | | | | | | | | | | | | (11920) $false
% 180.61/27.76 | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | CLOSE: (11920) is inconsistent.
% 180.61/27.76 | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76 | | | | | | | | | | | | | | | |
% 180.61/27.76 | | | | | | | | | | | | | | | | (11921) ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 180.61/27.77 | | | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 180.61/27.77 | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 180.61/27.77 | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | (11922) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.61/27.77 | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11922),
% 180.61/27.77 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.61/27.77 | | | | | | | | | | | | | | | | | #609.
% 180.61/27.77 | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | (11923) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.61/27.77 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.61/27.77 | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | BETA: splitting (11923) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | (11924) all_57_30 = e1 & op(e1, e1) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | ALPHA: (11924) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | (11925) op(e1, e1) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11925), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | (11926) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.61/27.77 | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | BETA: splitting (11926) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | (11927) all_57_31 = e1 & op(e0, e0) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | ALPHA: (11927) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | (11928) op(e0, e0) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11928), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | (11929) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | ALPHA: (11929) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | (11930) ~ (all_57_20 = e2)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | (11931) op(e2, e1) = all_57_20
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11932) all_56_15 = e0 & op(e0, e0) = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (11932) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11933) all_56_15 = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9589), (11933) imply:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11934) e2 = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (11934) imply:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11935) $false
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | CLOSE: (11935) is inconsistent.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11936) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (11936) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11937) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | (11938) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11937) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | (11939) all_56_12 = e0 & op(e0, e3) = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11939) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | (11940) all_56_12 = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | (11941) op(e0, e3) = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11938) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | (11942) all_56_9 = e0 & op(e3, e0) = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11942) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | (11943) op(e3, e0) = e0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | (11944) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11944),
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | #609.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | (11945) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11945) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | (11946) all_57_30 = e1 & op(e1, e1) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11946) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | (11947) op(e1, e1) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11947), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | (11948) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11948) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | (11949) all_57_31 = e1 & op(e0, e0) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11949) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | (11950) op(e0, e0) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11950), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | (11951) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11951) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | (11952) ~ (all_57_17 = e3)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | (11953) op(e3, e1) = all_57_17
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (11954) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11954),
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | #609.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (11955) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11955) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956) all_57_30 = e1 & op(e1, e1) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11956) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11957) op(e1, e1) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11957), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11958) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11959) all_57_31 = e1 & op(e0, e0) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11959) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) op(e0, e0) = e1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11960), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11961) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) op(e0, e1) = all_57_27
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11921) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11963) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) ~ (all_44_0 = e2)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) op(e0, e0) = all_44_0
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9590), (11964), (11965), (function-axioms) are
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #210.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11966) implies:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) ~ (all_44_1 = e3)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) op(e0, e1) = all_44_1
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11969),
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #609.
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11970) gives:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) all_57_30 = e1 & op(e1, e1) = e1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11971) implies:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) op(e1, e1) = e1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11972), (function-axioms) are
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11973) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) all_57_31 = e1 & op(e0, e0) = e1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11974) implies:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) op(e0, e0) = e1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11975), (function-axioms) are
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11976) implies:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) ~ (all_57_30 = e1)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) op(e1, e1) = all_57_30
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (11962)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) all_57_27 = all_52_11
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_44_1,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (11962),
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) all_57_27 = all_44_1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11941) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) all_52_3 = e0
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (11918),
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) all_57_30 = e0
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (11931)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) all_57_20 = all_52_9
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (11943) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) all_52_12 = e0
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (11953)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) all_57_17 = all_52_8
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11979), (11980) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) all_52_11 = all_44_1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (11986) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) all_54_14 = all_44_1
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11952), (11985) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) ~ (all_52_8 = e3)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11930), (11983) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) ~ (all_52_9 = e2)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11977), (11982) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) ~ (e1 = e0)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11981) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) ~ (all_52_7 = e0)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11986) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) ~ (all_52_7 = all_44_1)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9572), (11986) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) ~ (all_44_1 = e2)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11915), (11986) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) ~ (all_44_1 = e0)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11984) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) ~ (all_52_13 = e0)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11984) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) ~ (all_52_14 = e0)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (11984) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) ~ (all_4_2 = e0)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) all_54_14 = e3
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11987), (11998) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) all_44_1 = e3
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11999) implies:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) all_44_1 = e3
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11967), (12000) imply:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) $false
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12001) is inconsistent.
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) ~ (all_54_14 = e3)
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.86/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12004) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) all_56_12 = e3 & op(e0, e3) = e3
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11940), (12005) are inconsistent by
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1533.
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) all_56_13 = e3 & op(e0, e2) = e3
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12006) implies:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) all_56_13 = e3
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12008) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12008) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12009) all_56_12 = e1 & op(e0, e3) = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12009) implies:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12010) op(e0, e3) = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11941), (12010), (function-axioms) are
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12011) all_56_13 = e1 & op(e0, e2) = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12011) implies:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12012) all_56_13 = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12007), (12012) are inconsistent by
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12013) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12013) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12014) all_56_14 = e1 & op(e0, e1) = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12014) implies:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12015) all_56_14 = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12016) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12016) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12017) all_56_2 = e2 & op(e2, e3) = e2
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12017) implies:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018) all_56_2 = e2
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12019) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12019) gives:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12020) all_56_0 = e1 & op(e3, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12020) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12021) op(e3, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (11344), (12021), (function-axioms) are
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1525.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12022) all_56_2 = e1 & op(e2, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12022) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12023) all_56_2 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12018), (12023) are inconsistent by
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1363.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12024) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12024) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12025) all_56_6 = e1 & op(e1, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12025) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12026) all_56_6 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027) op(e1, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12003) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12028) all_54_14 = e2
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11987), (11993), (12028) are inconsistent by
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #187.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12029) ~ (all_54_14 = e2)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030) all_54_14 = e1 | all_54_14 = e0
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12030) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12031) all_54_14 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11987), (12031) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12032) all_44_1 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12032) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12033) all_44_1 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11980), (12033) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12034) all_57_27 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11967), (12033) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12035) ~ (e3 = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11993), (12033) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12036) ~ (e2 = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12037) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12037) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12038) all_56_0 = e1 & op(e3, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12038) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12039) op(e3, e3) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (229),
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (386), (11328), (12026), (12027),
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12039), (function-axioms) are inconsistent by
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #358.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12040) all_56_1 = e1 & op(e3, e2) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12040) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12041) all_56_1 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12042) op(e3, e2) = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12043) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12043) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12044) all_56_4 = e3 & op(e3, e1) = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12044) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12045) op(e3, e1) = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11988), (12045), (function-axioms) are
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12046) all_56_5 = e3 & op(e2, e1) = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12046) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047) op(e2, e1) = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12048) all_54_6 = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12048) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12049) all_52_9 = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12049) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12050) all_52_9 = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12050) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12051) ~ (all_52_1 = e3)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (12050) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12052) ~ (all_52_13 = e3)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12052) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12053) ~ (all_52_13 = e3)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12054) all_54_7 = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (12053), (12054) are inconsistent by
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12055) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12055) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12056) all_54_7 = e2
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (12056) are inconsistent by
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #795.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12057) ~ (all_54_7 = e2)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12058) all_54_7 = e1 | all_54_7 = e0
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12058) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12059) all_54_7 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12059) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12060) all_52_13 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12060) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12061) all_52_13 = e1
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12061) imply:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12062) ~ (all_52_14 = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12062) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12063) ~ (all_52_14 = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12064) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12064) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12065) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (11988), (12051), (12065),
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12066) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12066) gives:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12067) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12067) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068) op(e3, e0) = e3
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (164), (11333), (11916), (11938),
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068), (function-axioms) are inconsistent by
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #730.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12069) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12069) implies:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12070) op(e3, e2) = e2
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12042), (12070), (function-axioms) are
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1424.
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12071) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12071) gives:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (9571), (12047), (12072),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12073) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12073) gives:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12074) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12074) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12075) op(e3, e1) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (11915), (12030), (12075),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12076) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12076) gives:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12077) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12077) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12078) op(e2, e1) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (11915), (12030), (12078),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #807.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12079) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12079) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11962), (12034) imply:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12081) op(e0, e1) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12034), (12063), (12080), (12081),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #203.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12082) all_54_7 = e0
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11333), (12082) are inconsistent by
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #946.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12083) ~ (all_54_6 = e3)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (12083) imply:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084) ~ (all_52_9 = e3)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12047), (12084), (function-axioms) are
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12085) gives:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12086) all_56_8 = e3 & op(e1, e1) = e3
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12086) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12087) op(e1, e1) = e3
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11918), (12087), (function-axioms) are
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12088) all_56_14 = e3 & op(e0, e1) = e3
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12088) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12089) all_56_14 = e3
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12015), (12089) imply:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12090) e3 = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12007), (12090) imply:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12091) all_56_13 = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (11339),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12041), (12091), (function-axioms) are
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #441.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12092) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12092) gives:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12093) all_56_4 = e1 & op(e3, e1) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12093) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12094) op(e3, e1) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (11915), (12030), (12094),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12095) all_56_9 = e1 & op(e3, e0) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12095) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096) all_56_9 = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (164), (11333), (11916), (11938),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096), (function-axioms) are inconsistent by
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1303.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12097) all_54_14 = e0
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11987), (11994), (12097) are inconsistent by
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #186.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098) all_56_12 = e1 & op(e0, e3) = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12098) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12099) all_56_12 = e1
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (11331), (11937), (12015), (12099),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #412.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12100) all_56_3 = e2 & op(e2, e2) = e2
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12100) implies:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12101) op(e2, e2) = e2
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (170), (225), (11329), (11330),
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007), (12101), (function-axioms) are
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #896.
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12102) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (198), (276), (9574), (11332),
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989), (12102), (function-axioms) are
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #150.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12103) all_56_15 = e1 & op(e0, e0) = e1
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12103) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12104) op(e0, e0) = e1
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12104), (function-axioms) are
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12105) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12105) gives:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12106) all_56_14 = e3 & op(e0, e1) = e3
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12106) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12107) all_56_14 = e3
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (158), (207), (387), (11941),
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987), (11992), (11993), (11994), (12003),
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12107), (function-axioms) are inconsistent by
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #185.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12108) all_56_15 = e3 & op(e0, e0) = e3
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12108) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12109) op(e0, e0) = e3
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (12109), (function-axioms) are
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | (12110) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11333), (11916), (12110),
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | #1304.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | (12111) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12111) gives:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | (12112) all_56_13 = e0 & op(e0, e2) = e0
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12112) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | (12113) op(e0, e2) = e0
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11331), (12113), (function-axioms) are
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1463.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | (12114) all_56_14 = e0 & op(e0, e1) = e0
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12114) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | (12115) op(e0, e1) = e0
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | (12116) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (12116),
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | #609.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | (12117) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12117) gives:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12118) all_57_30 = e1 & op(e1, e1) = e1
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12118) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12119) op(e1, e1) = e1
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (12119), (function-axioms) are
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1619.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12120) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12120) gives:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (12121) all_57_31 = e1 & op(e0, e0) = e1
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12121) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (12122) op(e0, e0) = e1
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12122), (function-axioms) are
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (12123) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12123) implies:
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (12124) op(e0, e1) = all_57_27
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11915), (12115), (12124),
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | #902.
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | (12125) all_18_2 = e1
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | COMBINE_EQS: (342), (12125) imply:
% 180.87/27.80 | | | | | | | | | | | | | (12126) all_4_2 = e1
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | SIMP: (12126) implies:
% 180.87/27.80 | | | | | | | | | | | | | (12127) all_4_2 = e1
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | REDUCE: (351), (12127) imply:
% 180.87/27.80 | | | | | | | | | | | | | (12128) ~ (all_52_1 = e1)
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | REDUCE: (355), (12127) imply:
% 180.87/27.80 | | | | | | | | | | | | | (12129) ~ (all_52_3 = e1)
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | REDUCE: (36), (12127) imply:
% 180.87/27.80 | | | | | | | | | | | | | (12130) op(e3, e3) = e1
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (148), (159), (167), (192),
% 180.87/27.80 | | | | | | | | | | | | | (200), (251), (253), (264), (284), (9570), (9590),
% 180.87/27.80 | | | | | | | | | | | | | (11328), (11339), (11342), (12128), (12129),
% 180.87/27.80 | | | | | | | | | | | | | (12130), (function-axioms) are inconsistent by
% 180.87/27.80 | | | | | | | | | | | | | sub-proof #147.
% 180.87/27.80 | | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | End of split
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | Case 2:
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | (12131) all_16_2 = e3
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | COMBINE_EQS: (338), (12131) imply:
% 180.87/27.80 | | | | | | | | | | | | (12132) all_14_2 = e3
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | SIMP: (12132) implies:
% 180.87/27.80 | | | | | | | | | | | | (12133) all_14_2 = e3
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | COMBINE_EQS: (337), (12133) imply:
% 180.87/27.80 | | | | | | | | | | | | (12134) all_24_2 = e3
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | REDUCE: (363), (12133) imply:
% 180.87/27.80 | | | | | | | | | | | | (12135) ~ (all_52_2 = e3)
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | REDUCE: (374), (12133) imply:
% 180.87/27.80 | | | | | | | | | | | | (12136) ~ (all_52_6 = e3)
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | REDUCE: (376), (12133) imply:
% 180.87/27.80 | | | | | | | | | | | | (12137) ~ (all_52_8 = e3)
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | REDUCE: (377), (12133) imply:
% 180.87/27.80 | | | | | | | | | | | | (12138) ~ (all_52_9 = e3)
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | REDUCE: (379), (12133) imply:
% 180.87/27.80 | | | | | | | | | | | | (12139) ~ (all_52_11 = e3)
% 180.87/27.80 | | | | | | | | | | | |
% 180.87/27.80 | | | | | | | | | | | | REDUCE: (381), (12133) imply:
% 180.97/27.80 | | | | | | | | | | | | (12140) ~ (all_52_14 = e3)
% 180.97/27.80 | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | REDUCE: (51), (12133) imply:
% 180.97/27.80 | | | | | | | | | | | | (12141) op(e1, e1) = e3
% 180.97/27.80 | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.97/27.80 | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | (12142) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.97/27.80 | | | | | | | | | | | | | & op(e2, e1) = e3)
% 180.97/27.80 | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 180.97/27.80 | | | | | | | | | | | | | (219), (11332), (12138), (12141), (12142),
% 180.97/27.80 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.80 | | | | | | | | | | | | | #352.
% 180.97/27.80 | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | (12143) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.97/27.80 | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 180.97/27.80 | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | BETA: splitting (12143) gives:
% 180.97/27.80 | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | (12144) all_56_8 = e3 & op(e1, e1) = e3
% 180.97/27.80 | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | ALPHA: (12144) implies:
% 180.97/27.80 | | | | | | | | | | | | | | (12145) all_56_8 = e3
% 180.97/27.80 | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 180.97/27.80 | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | (12146) ~ (all_18_2 = e1)
% 180.97/27.80 | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | REDUCE: (342), (12146) imply:
% 180.97/27.80 | | | | | | | | | | | | | | | (12147) ~ (all_4_2 = e1)
% 180.97/27.80 | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.97/27.80 | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | (12148) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80 | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.97/27.80 | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12148),
% 180.97/27.80 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.80 | | | | | | | | | | | | | | | | #609.
% 180.97/27.80 | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | (12149) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.97/27.80 | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.97/27.80 | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | BETA: splitting (12149) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | (12150) all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | ALPHA: (12150) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | (12151) op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12151), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | (12152) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80 | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | $i(all_57_17))
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | BETA: splitting (12152) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | (12153) all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | ALPHA: (12153) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | (12154) op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12154), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | (12155) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | ALPHA: (12155) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | (12156) ~ (all_57_17 = e3)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | (12157) op(e3, e1) = all_57_17
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | (12158) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12158),
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | #609.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | (12159) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.97/27.80 | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (12159) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | (12160) all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (12160) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | (12161) op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12161), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | (12162) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12162) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | (12163) all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12163) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | (12164) op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12164), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | (12165) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12165) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | (12166) ~ (all_57_20 = e2)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | (12167) op(e2, e1) = all_57_20
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | (12168) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12168),
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | #609.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | (12169) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12169) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | (12170) all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12170) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | (12171) op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12171), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | (12172) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12172) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12173) all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12173) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12174) op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12174), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12175) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12175) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12176) ~ (all_57_27 = e0)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | (12177) op(e0, e1) = all_57_27
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (12178) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12178),
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | #609.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | (12179) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12179) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (12180) all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12180) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (12181) op(e1, e1) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12181), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (12182) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12182) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12183) all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12183) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12184) op(e0, e0) = e1
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12184), (function-axioms) are
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12185) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12185) implies:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12186) ~ (all_57_30 = e1)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12187) op(e1, e1) = all_57_30
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (12177)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12188) all_57_27 = all_52_11
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (12141),
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12187) gives:
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12189) all_57_30 = e3
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (165), (12167)
% 180.97/27.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12190) all_57_20 = all_52_9
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (12157)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12191) all_57_17 = all_52_8
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12166), (12190) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12192) ~ (all_52_9 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12176), (12188) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12193) ~ (all_52_11 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12194) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12194) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12195) all_56_4 = e0 & op(e3, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12195) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12196) all_56_4 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (121), (123), (135), (158), (159), (162),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (190), (198), (202),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (206), (207), (209), (211), (213), (214),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (223), (224), (227),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (233), (234), (248),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (254), (262), (276), (286), (294), (359),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382), (387), (11330), (11331), (11332), (11333),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11338), (11339), (12134), (12137), (12138),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12139), (12141), (12145), (12147), (12188),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12190), (12191), (12192), (12193), (12196),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #334.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12197) all_56_5 = e0 & op(e2, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (12197), (function-axioms) are
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12198) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (12141), (12177), (12193), (12198),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #872.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | (12199) all_18_2 = e1
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | COMBINE_EQS: (342), (12199) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | (12200) all_4_2 = e1
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | REDUCE: (351), (12200) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | (12201) ~ (all_52_1 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | REDUCE: (353), (12200) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | (12202) ~ (all_52_2 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | REDUCE: (355), (12200) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | (12203) ~ (all_52_3 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | REDUCE: (359), (12200) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | (12204) ~ (all_52_8 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | REDUCE: (361), (12200) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | (12205) ~ (all_52_12 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.97/27.81 | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | (12206) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 180.97/27.81 | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | BETA: splitting (12206) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | (12207) all_56_0 = e1 & op(e3, e3) = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | ALPHA: (12207) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | (12208) all_56_0 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | (12209) op(e3, e3) = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | (12210) all_54_7 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12210) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | (12211) all_52_13 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | SIMP: (12211) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | (12212) all_52_13 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | REDUCE: (145), (12212) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | (12213) ~ (all_52_1 = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | REDUCE: (113), (12212) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | (12214) ~ (all_52_12 = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | REDUCE: (110), (12212) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | (12215) ~ (all_52_14 = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | (12216) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (11339), (12213), (12216),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | #146.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | (12217) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (12217) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | (12218) all_56_5 = e3 & op(e2, e1) = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (12218) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | (12219) op(e2, e1) = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12138), (12219), (function-axioms) are
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1449.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | (12220) all_56_10 = e3 & op(e2, e0) = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (12220) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | (12221) all_56_10 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | (12222) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12222) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | (12223) all_56_0 = e3 & op(e3, e3) = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12223) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | (12224) op(e3, e3) = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12209), (12224), (function-axioms) are
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | (12225) all_56_1 = e3 & op(e3, e2) = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12225) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | (12226) all_56_1 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | (12227) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12209), (12226), (12227),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | (12228) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12228) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | (12229) all_56_4 = e2 & op(e3, e1) = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12229) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | (12230) all_56_4 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | (12231) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12231) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12232) all_56_4 = e0 & op(e3, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12232) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12233) all_56_4 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (146), (157), (165), (198), (200),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (276), (284), (9572), (11328), (11332),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12141), (12201), (12213), (12233),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12234) all_56_5 = e0 & op(e2, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (12234), (function-axioms) are
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | (12235) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12235) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12236) all_56_8 = e0 & op(e1, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12236) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12237) op(e1, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12141), (12237), (function-axioms) are
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1252.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12238) all_56_14 = e0 & op(e0, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12238) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (12239) op(e0, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12240) all_54_4 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (12213), (12240) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1078.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12241) ~ (all_54_4 = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12242) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12243) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (12243),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12244) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12244) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12245) all_56_4 = e0 & op(e3, e1) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12245) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12246) all_56_4 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (146), (157), (165), (198), (219),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276), (284), (9572), (11328), (11332), (12141),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12201), (12242), (12246), (function-axioms) are
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12247) all_56_9 = e0 & op(e3, e0) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12247) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12248) all_56_9 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12249) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12249) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12250) all_56_4 = e1 & op(e3, e1) = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12250) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12251) all_56_4 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (12209), (12226), (12248),
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12251), (function-axioms) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #671.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12252) all_56_5 = e1 & op(e2, e1) = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12252) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12253) all_56_5 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12242) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12254) all_54_4 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (12254) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12255) all_52_1 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12255) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12256) all_52_1 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12256) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12257) ~ (all_52_2 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12257) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12258) ~ (all_52_2 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (12256) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12259) ~ (all_52_3 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12256) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12260) ~ (all_52_9 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12260) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261) ~ (all_52_9 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12256) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12262) op(e2, e3) = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12263) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12263) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12264) all_56_2 = e2 & op(e2, e3) = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12264) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12265) all_56_2 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12266) all_54_8 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12135), (12266) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12267) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12268) all_54_6 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12138), (12268) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12269) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12270) all_54_3 = e3
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (12214), (12270) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #809.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12271) ~ (all_54_3 = e3)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12272) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12272) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12273) all_54_3 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (12273) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #748.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12274) all_54_3 = e1 | all_54_3 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12269) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12275) all_54_6 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12261), (12275) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1241.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12276) ~ (all_54_6 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12277) all_54_6 = e1 | all_54_6 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12277) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12278) all_54_6 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12278) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12279) all_52_9 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12279) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12280) all_52_9 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12280) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12281) ~ (all_52_11 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12281) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12282) ~ (all_52_11 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12261), (12280) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12283) ~ (e2 = e1)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (12280) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12284) op(e2, e1) = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12267) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12285) all_54_8 = e2
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12258), (12285) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1240.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12286) ~ (all_54_8 = e2)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12287) all_54_8 = e1 | all_54_8 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12274) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12288) all_54_3 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (12205), (12288) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #829.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12289) all_54_3 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (12289) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12290) all_52_12 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12290) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12291) all_52_12 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (12291) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12292) ~ (all_52_8 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (12291) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12293) ~ (all_52_14 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12293) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294) ~ (all_52_14 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12295) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12295) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12296) all_56_6 = e0 & op(e1, e3) = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12296) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12297) all_56_6 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12287) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12298) all_54_8 = e1
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12202), (12298) are inconsistent by
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #952.
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12299) all_54_8 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (12299) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12300) all_52_2 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12300) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12301) all_52_2 = e0
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12301) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12302) ~ (all_52_3 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12302) implies:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12303) ~ (all_52_3 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12258), (12301) imply:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12304) ~ (e2 = e0)
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12305) all_54_12 = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (12305) imply:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12306) all_52_3 = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12306) implies:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12307) all_52_3 = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (12307) imply:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12308) ~ (all_52_7 = e3)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12308) implies:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12309) ~ (all_52_7 = e3)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (12307) imply:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12310) op(e0, e3) = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12311) all_54_13 = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (12309), (12311) are inconsistent by
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12312) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12313) all_54_2 = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12137), (12313) are inconsistent by
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12314) ~ (all_54_2 = e3)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12315) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12316) all_54_11 = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12140), (12316) are inconsistent by
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12317) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12318) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12318) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12319) all_56_12 = e1 & op(e0, e3) = e1
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12319) implies:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320) op(e0, e3) = e1
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (12208), (12265),
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12297), (12320), (function-axioms) are
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #738.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12321) all_56_13 = e1 & op(e0, e2) = e1
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12321) implies:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12322) op(e0, e2) = e1
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12323) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12323) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12324) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (12137), (12213), (12324),
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #280.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12325) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12325) gives:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12326) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12326) implies:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12327) op(e3, e0) = e3
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (9574),
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575), (11333), (12294), (12317), (12327),
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #941.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12328) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12328) implies:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12329) op(e3, e2) = e2
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (286), (12204), (12292), (12315),
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12329), (function-axioms) are inconsistent by
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #205.
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12330) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12330) gives:
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12331) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (276), (11332), (12261), (12277),
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12322), (12331), (function-axioms) are
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12332) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12332) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12333) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12333) implies:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12334) op(e3, e1) = e1
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12204), (12334), (function-axioms) are
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12335) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12335) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12336) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12336) implies:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12337) op(e1, e2) = e1
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (263), (9571), (11331), (12312),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12337), (function-axioms) are inconsistent by
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12338) implies:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12339) op(e0, e1) = all_57_27
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12340) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12340) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12341) implies:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12342) all_57_27 = e1
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12339), (12342) imply:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12343) op(e0, e1) = e1
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12282), (12343), (function-axioms) are
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1517.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12344) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12344) implies:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12345) op(e0, e0) = all_57_31
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12346) op(e0, e3) = all_57_25
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12347) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (9590),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12345) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12348) all_57_31 = e2
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12347) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12349) all_57_31 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12348), (12349) imply:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12350) e2 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12265), (12350) imply:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12351) all_56_2 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (11339),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12284), (12351), (function-axioms) are
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #603.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12352) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12352) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12353) implies:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12354) all_57_25 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12355) op(e3, e0) = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12346), (12354) imply:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12356) op(e0, e3) = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (12310), (12356) gives:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12357) e3 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12226), (12357) imply:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12358) all_56_1 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (12209), (12230), (12355),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12358), (function-axioms) are inconsistent by
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1049.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12359) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11333), (12294), (12359),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1317.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12360) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (12282), (12360),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12361) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (12203), (12303), (12361) are
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12362) all_56_7 = e0 & op(e1, e2) = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11330), (12362), (function-axioms) are
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1199.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12363) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (12141), (12294), (12363),
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12364) all_54_6 = e0
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (11332), (12364) are inconsistent by
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12365) all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12365) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12366) op(e2, e2) = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (12221), (12253), (12262),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12366), (function-axioms) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #881.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12367) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (198), (276), (9574), (11332),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261), (12367), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #150.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12368) all_54_4 = e1 | all_54_4 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (11328), (12201), (12368) are inconsistent
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #737.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12369) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12370) all_56_8 = e1 & op(e1, e1) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12370) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12371) op(e1, e1) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12371), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1541.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12372) all_56_14 = e1 & op(e0, e1) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12372) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12373) op(e0, e1) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12239), (12373), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1171.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | (12374) all_56_9 = e2 & op(e3, e0) = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12374) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | (12375) all_56_9 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12376) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (12376),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12377) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12377) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12378) all_56_4 = e0 & op(e3, e1) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12378) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12379) all_56_4 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (146), (157), (165), (198), (200),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (276), (284), (9572), (11328), (11332),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12141), (12201), (12213), (12379),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12380) all_56_9 = e0 & op(e3, e0) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12375), (12380) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1574.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | (12381) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12381) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12382) all_56_4 = e3 & op(e3, e1) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12382) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12383) all_56_4 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (219), (11332), (12141), (12383),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | #425.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12384) all_56_9 = e3 & op(e3, e0) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12384) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12385) op(e3, e0) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12214), (12385), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | (12386) ~ (all_54_7 = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | (12387) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | REDUCE: (275), (12386) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | (12388) ~ (all_52_13 = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | (12389) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (12389) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | (12390) all_56_9 = e3 & op(e3, e0) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (12390) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | (12391) all_56_9 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | (12392) op(e3, e0) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | (12393) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12393) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12394) all_56_2 = e3 & op(e2, e3) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12394) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12395) all_56_2 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | (12396) op(e2, e3) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | (12397) all_56_15 = e0 & op(e0, e0) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12397) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | (12398) all_56_15 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9589), (12398) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | #920.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | (12399) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12399) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | (12400) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12387) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | (12401) all_54_7 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (12401) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #795.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | (12402) ~ (all_54_7 = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | (12403) all_54_7 = e1 | all_54_7 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12403) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12404) all_54_7 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12404) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12405) all_52_13 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12405) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12406) all_52_13 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (12406) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12407) ~ (all_52_9 = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12406) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12408) ~ (all_52_14 = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12408) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12409) ~ (all_52_14 = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12388), (12406) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12410) ~ (e3 = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9574), (12406) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | (12411) ~ (e2 = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (12412) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12412) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12413) all_56_6 = e1 & op(e1, e3) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12413) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12414) op(e1, e3) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12202), (12414), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12415) all_56_7 = e1 & op(e1, e2) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12415) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12416) all_56_7 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12417) op(e1, e2) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12418) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12418) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12419) all_56_6 = e2 & op(e1, e3) = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12419) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12420) all_56_6 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12421) all_54_6 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12421) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422) all_52_9 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12138), (12422) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12423) $false
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12423) is inconsistent.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12424) ~ (all_54_6 = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12425) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) all_54_11 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12140), (12426) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12427) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12427) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12428) all_54_11 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (12428) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12429) ~ (all_54_11 = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12430) all_54_11 = e1 | all_54_11 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12431) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12431) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12432) all_56_1 = e2 & op(e3, e2) = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12432) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12433) all_56_1 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12434) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (11328), (12434),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #929.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12435) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12435) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12436) all_56_6 = e0 & op(e1, e3) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12420), (12436) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1455.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12437) all_56_12 = e0 & op(e0, e3) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12437) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12438) op(e0, e3) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12425) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12439) all_54_6 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12439) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) all_52_9 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12440) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12441) ~ (all_52_1 = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12440) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12442) ~ (all_52_8 = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12440) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12443) ~ (all_52_11 = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12138), (12440) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12444) ~ (e3 = e2)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (12440) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12445) op(e2, e1) = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12446) all_54_2 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12137), (12446) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1335.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12447) ~ (all_54_2 = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12448) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12449) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (12449),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12450) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12450) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12451) all_56_4 = e0 & op(e3, e1) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12451) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12452) all_56_4 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12453) op(e3, e1) = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12454) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (133), (168), (170), (201), (285), (11339),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12392), (12454), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #139.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12455) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12455) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12456) all_56_7 = e3 & op(e1, e2) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12456) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12457) op(e1, e2) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12417), (12457), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12458) all_56_13 = e3 & op(e0, e2) = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12458) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12459) all_56_13 = e3
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12448) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12460) all_54_2 = e2
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12442), (12460) are inconsistent by
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1480.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12461) all_54_2 = e1 | all_54_2 = e0
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12462) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12463) all_56_12 = e1 & op(e0, e3) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12463) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12464) op(e0, e3) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12438), (12464), (function-axioms) are
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1589.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12465) all_56_13 = e1 & op(e0, e2) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12465) implies:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12466) all_56_13 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12459), (12466) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12467) e3 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12391), (12467) imply:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12468) all_56_9 = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12209), (12452), (12453), (12468),
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1375.
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12469) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12469) gives:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12470) all_56_14 = e1 & op(e0, e1) = e1
% 181.07/27.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12470) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12471) op(e0, e1) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12430) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12472) all_54_11 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12409), (12472) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1114.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12473) all_54_11 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (12473) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474) all_52_14 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12474) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12475) all_52_14 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12475) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12476) ~ (all_52_2 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (12475) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12477) ~ (e2 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12409), (12475) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12478) ~ (e1 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (12475) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12479) op(e1, e0) = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12480) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12480) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12481) all_56_2 = e1 & op(e2, e3) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12201), (12481), (function-axioms) are
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12482) all_56_3 = e1 & op(e2, e2) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12482) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12483) op(e2, e2) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (158), (225), (11331), (12416), (12433),
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12483), (function-axioms) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12484) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12484) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12485) all_56_5 = e1 & op(e2, e1) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12485) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12486) op(e2, e1) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12407), (12486), (function-axioms) are
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1610.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12487) all_56_10 = e1 & op(e2, e0) = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12487) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12488) all_56_10 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12489) all_54_8 = e3
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12135), (12489) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12490) ~ (all_54_8 = e3)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12491) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12491) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12492) all_54_8 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (12492) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12493) all_52_2 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12493) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12494) all_52_2 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (12494) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495) ~ (all_52_6 = e2)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12495) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12496) ~ (all_52_6 = e2)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12461) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12497) all_54_2 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12204), (12497) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498) all_54_2 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (12498) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12499) all_52_8 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12499) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12500) all_52_8 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12500) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12501) ~ (all_52_11 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12501) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12502) ~ (all_52_11 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12503) all_54_14 = e3
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (12139), (12503) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1259.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12504) ~ (all_54_14 = e3)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12505) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12505) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12506) all_54_14 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (12506) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1234.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12507) ~ (all_54_14 = e2)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12508) all_54_14 = e1 | all_54_14 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12509) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12509) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12510) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (169), (170), (201), (285), (286),
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12137), (12204), (12392), (12461), (12510),
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #234.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12511) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12511) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12512) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12512) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12513) op(e0, e3) = e3
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12508) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12514) all_54_14 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (12514) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12515) all_52_11 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12515) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12516) all_52_11 = e1
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (12438), (12513) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12517) e3 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12395), (12517) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12518) all_56_2 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (11339), (12445), (12488),
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12518), (function-axioms) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12519) all_54_14 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (12502), (12519) are inconsistent by
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1306.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12520) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12521) op(e2, e3) = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12505) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12522) all_54_14 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (12522) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12523) all_52_11 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9572), (12523) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12524) $false
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12524) is inconsistent.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (12396), (12521) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12525) e3 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12395), (12525) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12526) all_56_2 = e2
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12527) all_54_4 = e3
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (12527) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12528) all_52_1 = e3
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12528) implies:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12529) all_52_1 = e3
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12529) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12530) ~ (all_52_9 = e3)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (12529) imply:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12531) ~ (all_52_13 = e3)
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (164), (165), (224), (11339), (12138),
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12388), (12526), (function-axioms) are
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12532) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (12201), (12441), (12521), (12532),
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12533) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12533) gives:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12534) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (12396), (12534), (function-axioms)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #830.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12535) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12535) gives:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12536) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12536) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12537) op(e3, e1) = e1
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (190), (262), (9572), (12139),
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12502), (12537), (function-axioms) are
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1256.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12538) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12538) gives:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12539) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12539) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12540) op(e2, e1) = e1
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (9572), (12502), (12505),
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12540), (function-axioms) are inconsistent by
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12541) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12541) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) op(e0, e1) = all_57_27
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12543) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (12471),
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) gives:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12544) all_57_27 = e1
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12409), (12471), (12543), (12544),
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #203.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12545) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (9571),
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11331), (12136), (12479), (12496), (12545),
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12546) all_54_8 = e1 | all_54_8 = e0
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12202), (12476), (12546) are inconsistent
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1079.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12547) all_56_15 = e1 & op(e0, e0) = e1
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12547) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12548) op(e0, e0) = e1
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12548), (function-axioms) are
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549) all_56_9 = e0 & op(e3, e0) = e0
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12549) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12550) op(e3, e0) = e0
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12392), (12550), (function-axioms) are
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1189.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12551) all_54_6 = e1 | all_54_6 = e0
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (11332), (12407), (12551) are inconsistent
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #255.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12552) all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12552) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12553) op(e2, e2) = e2
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11339), (12553), (function-axioms) are
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12554) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12554) gives:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12555) all_56_7 = e2 & op(e1, e2) = e2
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12416), (12555) are inconsistent by
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1008.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12556) all_56_13 = e2 & op(e0, e2) = e2
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12556) implies:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12557) op(e0, e2) = e2
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (12557), (function-axioms) are
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1613.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12558) all_56_7 = e2 & op(e1, e2) = e2
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12416), (12558) are inconsistent by
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1008.
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12559) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12559) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12560) all_56_8 = e2 & op(e1, e1) = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12560) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12561) op(e1, e1) = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12141), (12561), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12562) all_56_11 = e2 & op(e1, e0) = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12562) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12563) all_56_11 = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (164), (11333), (12391), (12400),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12563), (function-axioms) are inconsistent by
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12564) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (12141), (12409), (12564),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | #791.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12565) all_54_7 = e0
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11333), (12565) are inconsistent by
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #946.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12566) all_56_3 = e3 & op(e2, e2) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12566) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12567) op(e2, e2) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11339), (12567), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12568) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (12138), (12388), (12568),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | #138.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | (12569) all_56_10 = e3 & op(e2, e0) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12388), (12569), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | (12570) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (12140), (12570),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | #220.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12571) all_56_2 = e1 & op(e2, e3) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12201), (12571), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | (12572) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 181.07/27.87 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (12202), (12203), (12572),
% 181.07/27.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | #174.
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | (12573) all_56_14 = e3 & op(e0, e1) = e3
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | ALPHA: (12573) implies:
% 181.07/27.87 | | | | | | | | | | | | | | (12574) all_56_14 = e3
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.07/27.87 | | | | | | | | | | | | | | (219), (11332), (12141), (12574),
% 181.07/27.87 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | #333.
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | (12575) all_14_2 = e2
% 181.07/27.87 | | | | | | | | | | | (12576) ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 181.07/27.87 | | | | | | | | | | | $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1)
% 181.07/27.87 | | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | REDUCE: (374), (12575) imply:
% 181.07/27.87 | | | | | | | | | | | (12577) ~ (all_52_6 = e2)
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | REDUCE: (377), (12575) imply:
% 181.07/27.87 | | | | | | | | | | | (12578) ~ (all_52_9 = e2)
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | REDUCE: (51), (12575) imply:
% 181.07/27.87 | | | | | | | | | | | (12579) op(e1, e1) = e2
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | BETA: splitting (223) gives:
% 181.07/27.87 | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | (12580) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 181.07/27.87 | | | | | | | | | | | | & op(e2, e2) = e2)
% 181.07/27.87 | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | BETA: splitting (12580) gives:
% 181.07/27.87 | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | (12581) all_56_2 = e2 & op(e2, e3) = e2
% 181.07/27.87 | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | ALPHA: (12581) implies:
% 181.07/27.87 | | | | | | | | | | | | | (12582) all_56_2 = e2
% 181.07/27.87 | | | | | | | | | | | | | (12583) op(e2, e3) = e2
% 181.07/27.87 | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.07/27.87 | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | (12584) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.07/27.87 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | BETA: splitting (12584) gives:
% 181.07/27.87 | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | (12585) all_56_1 = e2 & op(e3, e2) = e2
% 181.07/27.87 | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | ALPHA: (12585) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | (12586) op(e3, e2) = e2
% 181.07/27.87 | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | BETA: splitting (12576) gives:
% 181.07/27.87 | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | (12587) ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 181.07/27.87 | | | | | | | | | | | | | | | | $i(all_14_0)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REF_CLOSE: (11339), (12587), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | inconsistent by sub-proof #332.
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | (12588) ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 181.07/27.87 | | | | | | | | | | | | | | | | $i(all_14_1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | ALPHA: (12588) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12589) ~ (all_14_1 = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | (12590) op(e2, e1) = all_14_1
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 181.07/27.87 | | | | | | | | | | | | | | | | all_14_1, e1, e2, simplifying with (165), (12590)
% 181.07/27.87 | | | | | | | | | | | | | | | | gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12591) all_52_9 = all_14_1
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 181.07/27.87 | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (12583) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12592) all_52_1 = e2
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 181.07/27.87 | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (12586) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12593) all_52_4 = e2
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12591) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12594) all_54_6 = all_14_1
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (149), (12592) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12595) ~ (all_52_2 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | SIMP: (12595) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12596) ~ (all_52_2 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (148), (12592) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12597) ~ (all_52_3 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (145), (12592) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12598) ~ (all_52_13 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (136), (12593) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12599) ~ (all_52_6 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (135), (12593) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12600) ~ (all_52_7 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (123), (12591) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12601) ~ (all_52_8 = all_14_1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (118), (12591) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12602) ~ (all_52_11 = all_14_1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | SIMP: (12602) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12603) ~ (all_52_11 = all_14_1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (117), (12591) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12604) ~ (all_52_13 = all_14_1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | SIMP: (12604) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12605) ~ (all_52_13 = all_14_1)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (12578), (12591) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12606) ~ (all_14_1 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | REDUCE: (11332), (12591) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | (12607) ~ (all_14_1 = e0)
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12608) all_54_6 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12608) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12609) all_14_1 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | SIMP: (12609) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12610) all_14_1 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | REDUCE: (12589), (12610) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12611) $false
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | CLOSE: (12611) is inconsistent.
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12612) ~ (all_54_6 = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | (12613) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | BETA: splitting (12613) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | (12614) all_54_6 = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12614) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | (12615) all_14_1 = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | SIMP: (12615) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | (12616) all_14_1 = e2
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | REDUCE: (12606), (12616) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | (12617) $false
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | CLOSE: (12617) is inconsistent.
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | (12618) ~ (all_54_6 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | (12619) all_54_6 = e1 | all_54_6 = e0
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | (12620) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (12582), (12620),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | #384.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | (12621) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (12621) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | (12622) all_56_5 = e3 & op(e2, e1) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (12622) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | (12623) all_56_5 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | (12624) op(e2, e1) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12625) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12625) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12626) all_56_2 = e1 & op(e2, e3) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12582), (12626) are inconsistent by
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1416.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12627) all_56_3 = e1 & op(e2, e2) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12627) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12628) op(e2, e2) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (221), (11333), (12583),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12623), (12628), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1308.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12629) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12629) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12630) all_56_5 = e1 & op(e2, e1) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12630) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12631) op(e2, e1) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12624), (12631), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12632) all_56_10 = e1 & op(e2, e0) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12632) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12633) all_56_10 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12619) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12634) all_54_6 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12634) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12635) all_14_1 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12635) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12636) all_14_1 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12589), (12636) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12637) ~ (e3 = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12606), (12636) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12638) ~ (e2 = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12590), (12636) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12639) op(e2, e1) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (11332), (11338), (12579),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12633), (12639), (function-axioms) are
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #329.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12640) all_54_6 = e0
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12594), (12607), (12640) are inconsistent by
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | (12641) all_56_10 = e3 & op(e2, e0) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (12641) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | (12642) all_56_10 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12619) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12643) all_54_6 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12643) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12644) all_14_1 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | SIMP: (12644) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12645) all_14_1 = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12601), (12645) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12646) ~ (all_52_8 = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12603), (12645) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12647) ~ (all_52_11 = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12605), (12645) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12648) ~ (all_52_13 = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12606), (12645) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12649) ~ (e2 = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12590), (12645) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | (12650) op(e2, e1) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12651) all_54_7 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12651) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12652) all_52_13 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12652) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12653) all_52_13 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12653) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12654) ~ (all_52_14 = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12654) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12655) ~ (all_52_14 = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (12653) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | (12656) op(e2, e0) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12657) ~ (all_22_2 = e2)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9569), (12657) imply:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12658) $false
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12658) is inconsistent.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | (12659) ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | (12660) (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e2) = e3)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12660) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12661) all_57_28 = e3 & op(e3, e3) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12661) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12662) all_57_28 = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | (12663) op(e3, e3) = e3
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12664) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12664),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (12665) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & $i(all_57_17))
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12665) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666) all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12666) implies:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12667) op(e1, e1) = e1
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (210), (213), (215), (216),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (223), (224), (230), (386),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (11329), (11330), (11332), (11338),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339), (12582), (12650), (12667),
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | #482.
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12668) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17))
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12668) gives:
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12669) all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12669) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12670) op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12670), (function-axioms) are
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12671) ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12671) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12672) ~ (all_57_17 = e3)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12673) op(e3, e1) = all_57_17
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12674) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12674),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12675) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_20 & $i(all_57_20))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12675) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12676) all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12676) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677) op(e1, e1) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (210), (213), (215), (216),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (223), (224), (230), (386),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (11329), (11330), (11332), (11338),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339), (12582), (12650), (12677),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #482.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12678) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12679) all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12679) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12680) op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12680), (function-axioms) are
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12681) ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12681) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12682) op(e2, e1) = all_57_20
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12683) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12683),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_30))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12684) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12685) all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12685) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12686) op(e1, e1) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (210), (213), (215), (216),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (219), (220), (223), (224), (230), (386),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387), (11329), (11330), (11332), (11338),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339), (12582), (12650), (12686),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #482.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12687) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12687) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12688) all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12688) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12689) op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12689), (function-axioms) are
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12690) ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12690) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12691) ~ (all_57_30 = e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12692) op(e1, e1) = all_57_30
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12693) (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e2) = e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12693),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12694) (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_27 & $i(all_57_27))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12694) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12695) all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12695) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12696) op(e1, e1) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12691), (12692), (12696), (function-axioms) are
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1266.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12697) (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12697) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12698) all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12698) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12699) op(e0, e0) = e1
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12699), (function-axioms) are
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1516.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12700) ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12700) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12701) ~ (all_57_27 = e0)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12659) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12702) ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12702) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12703) ~ (all_22_0 = e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12704) op(e2, e2) = all_22_0
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12705) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12705) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12706) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12706) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12707) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12707) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12708) ~ (all_57_28 = e2)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12709) op(e3, e2) = e3
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (12586), (12709) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710) e3 = e2
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (12710) imply:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12711) $false
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12711) is inconsistent.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12712) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12712) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12713) all_57_17 = e3
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12672), (12713) imply:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12714) $false
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12714) is inconsistent.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12715) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12715) gives:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12716) all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12716) implies:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12717) op(e3, e0) = e3
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (197), (275), (9574), (11333),
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12648), (12717), (function-axioms) are
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #943.
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12718) all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_5 = e2) & ~ (all_57_6 = e1) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e3) & op(e3,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12718) implies:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12719) ~ (all_57_6 = e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12720) op(e2, all_57_20) = all_57_6
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (12650),
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12682) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12721) all_57_20 = e1
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12682), (12719), (12720), (12721),
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #340.
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12722) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12722) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12723) (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_4 = e3) & ~ (all_57_5 = e2) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_7 = e0) & ~ (all_57_29 = e1) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 = e2 & all_57_26 = e2 & ~ (all_57_4 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_5 = e2) & ~ (all_57_6 = e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (12578), (12682), (12723),
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12724) (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e3) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & all_57_20 = e1 & all_57_23 = e1 & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e3) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12724) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12725) all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_9 = e2) & ~ (all_57_10 = e1) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e3) & op(e3,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12725) implies:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12726) op(e3, e1) = e1
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12646), (12726), (function-axioms) are
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12727) (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_11 = e0) & ~ (all_57_30 = e2) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | ( ~ (all_57_12 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e2) & ~ (all_57_14 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13) & $i(all_57_14) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)))))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12727) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12728) all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_10 = e1) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_11 = e0) & ~ (all_57_30 = e2) & op(e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12728) implies:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12729) ~ (all_57_30 = e2)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12579), (12692), (12729), (function-axioms) are
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12730) op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & ~ (all_57_13 = e2) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e1) & ~ (all_57_15 = e0) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_25) = all_57_12 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e0, e0) = all_57_31 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0))))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12730) implies:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12731) op(e0, e1) = all_57_27
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12732) (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e1 & ~ (all_57_8 = e3) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e2) & ~ (all_57_10 = e1) & ~
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_13 = e2) & ~ (all_57_14 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)))
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e1, e0, simplifying with (157), (12731)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12733) all_57_27 = all_52_11
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (12579),
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12692) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12734) all_57_30 = e2
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e1, e2, simplifying with (12650),
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12682) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12735) all_57_20 = e1
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_0,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (11339), (12704) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12736) all_22_0 = e0
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e1, e3, simplifying with (169), (12673)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12737) all_57_17 = all_52_8
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e3,
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (36), (12663) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12738) all_4_2 = e3
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12701), (12733) imply:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12739) ~ (all_52_11 = e0)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (12738) imply:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12740) ~ (all_52_2 = e3)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12703), (12736) imply:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12741) ~ (e1 = e0)
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12742) all_54_14 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (12742) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12743) all_52_11 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12743) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12744) all_52_11 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12733), (12744) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12745) all_57_27 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12744) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12746) ~ (all_52_3 = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (12744) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12747) ~ (all_52_7 = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12744) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12748) ~ (all_52_8 = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12749) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12749) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12750) all_56_4 = e3 & op(e3, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12750) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12751) op(e3, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12748), (12751), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1346.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12752) all_56_5 = e3 & op(e2, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12752) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12753) op(e2, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (197), (275), (9574), (11333),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12648), (12753), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #552.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12754) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12754) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12755) all_56_8 = e3 & op(e1, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12755) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12756) op(e1, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12579), (12756), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12757) all_56_14 = e3 & op(e0, e1) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12757) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12758) all_56_14 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12759) all_54_13 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (12747), (12759) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1302.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12760) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (135), (158), (162), (170), (227),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339), (12577), (12586), (12761),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #420.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12762) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12762) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12763) all_56_7 = e3 & op(e1, e2) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12763) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12764) all_56_7 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12765) op(e1, e2) = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12766) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11339), (12586), (12766),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #134.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12767) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12767) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12768) all_56_7 = e1 & op(e1, e2) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12768) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12769) op(e1, e2) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12765), (12769), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12770) all_56_13 = e1 & op(e0, e2) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12770) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12771) all_56_13 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12760) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12772) all_54_13 = e2
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (12772) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12773) all_54_13 = e1 | all_54_13 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12774) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12774) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12775) all_56_0 = e1 & op(e3, e3) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12775) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12776) op(e3, e3) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12663), (12776), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12777) all_56_1 = e1 & op(e3, e2) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12777) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12778) all_56_1 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (11339), (12764), (12771),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12778), (function-axioms) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1428.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12779) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12779) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12780) all_56_4 = e1 & op(e3, e1) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12780) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12781) op(e3, e1) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12646), (12781), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12782) all_56_9 = e1 & op(e3, e0) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12782) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12783) all_56_9 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12784) op(e3, e0) = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12732) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12785) all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_8 = e3) & ~ (all_57_9 = e2) &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & ~ (all_57_30 = e0) & op(e1,
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12785) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12786) all_57_27 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12745), (12786) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12787) e3 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12642), (12787) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12788) all_56_10 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (11338), (12582), (12650),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12788), (function-axioms) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #787.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12789) ~ (all_57_12 = e3) & ~ (all_57_13 = e2) & ~
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1) & ~ (all_57_15 = e0) & op(e0,
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0))
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12789) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12790) all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27 = e0 & op(e1, e0) = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12790) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12791) all_57_31 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12647), (12731), (12732), (12791),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12792) (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12773) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12793) all_54_13 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (12793) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12794) all_52_7 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12794) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12795) all_52_7 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (12795) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12796) ~ (all_52_3 = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12797) all_54_12 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (12746), (12797) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12798) ~ (all_54_12 = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12799) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12799) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12800) all_54_12 = e2
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (12800) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #709.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12801) ~ (all_54_12 = e2)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12802) all_54_12 = e1 | all_54_12 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12802) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12803) all_54_12 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (12796), (12803) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12804) all_54_12 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (12804) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12805) all_52_3 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12805) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12806) all_52_3 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12806) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12807) ~ (all_52_2 = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9570), (12806) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12808) ~ (e2 = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12809) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12809) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12810) all_56_4 = e0 & op(e3, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12810) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12811) op(e3, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12812) all_54_8 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12740), (12812) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1243.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12813) ~ (all_54_8 = e3)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12814) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12814) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12815) all_54_8 = e2
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12596), (12815) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1240.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12816) all_54_8 = e1 | all_54_8 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12816) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12817) all_54_8 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (12817) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12818) all_52_2 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12818) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12819) all_52_2 = e1
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12819) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12820) ~ (all_52_14 = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12820) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12821) ~ (all_52_14 = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12740), (12819) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12822) ~ (e3 = e1)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12792) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12823) all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12823) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12824) op(e3, e0) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12825) all_54_11 = e3
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12655), (12825) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12826) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12826) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12827) all_54_11 = e2
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (12827) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1115.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12828) all_54_11 = e1 | all_54_11 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (160), (210), (265), (387), (12642),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12783), (12784), (12821), (12824), (12828),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #171.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12829) (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12829) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12830) all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12830) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12831) op(e2, e0) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11333), (12831), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1504.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12832) all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12832) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12833) all_57_27 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12745), (12833) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12834) e3 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12758), (12834) imply:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12835) all_56_14 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (12579), (12650),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12811), (12835), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12836) all_54_8 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12807), (12836) are inconsistent by
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1236.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12837) all_56_5 = e0 & op(e2, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (12837), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12838) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12838) gives:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12839) all_56_8 = e0 & op(e1, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12839) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12840) op(e1, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12579), (12840), (function-axioms) are
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1230.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12841) all_56_14 = e0 & op(e0, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12841) implies:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12842) op(e0, e1) = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12731), (12739), (12842),
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #902.
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12843) all_54_13 = e0
% 181.07/27.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11331), (12843) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12844) all_56_13 = e3 & op(e0, e2) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12844) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12845) all_56_13 = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12846) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11339), (12586), (12846),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #134.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12847) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12847) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12848) all_56_7 = e1 & op(e1, e2) = e1
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12848) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12849) op(e1, e2) = e1
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (263), (9571), (11331), (12760),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12849), (function-axioms) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12850) all_56_13 = e1 & op(e0, e2) = e1
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12850) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12851) all_56_13 = e1
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (11338), (12582), (12642),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12650), (12845), (12851), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #337.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12852) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (9572), (12650), (12739),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12852), (function-axioms) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12853) ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12853) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12854) ~ (all_22_1 = e3)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12855) op(e2, e0) = all_22_1
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12656), (12854), (12855), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #197.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12856) all_57_29 = e3 & op(e2, e2) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12856) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12857) op(e2, e2) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11339), (12857), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1015.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | (12858) (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_19 & $i(all_57_19))
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12858) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12859) all_57_30 = e3 & op(e1, e1) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12859) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12860) op(e1, e1) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12579), (12860), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1164.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | (12861) (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19))
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12861) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12862) all_57_31 = e3 & op(e0, e0) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12862) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12863) op(e0, e0) = e3
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (12863), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12864) ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12864) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12865) ~ (all_57_19 = e2)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (12866) op(e2, e3) = all_57_19
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12583), (12865), (12866), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | (12867) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (11333), (12648), (12867) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #944.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | (12868) all_54_6 = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12594), (12607), (12868) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | (12869) all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | ALPHA: (12869) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | (12870) op(e2, e2) = e2
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (165), (221), (11332), (11333),
% 181.07/27.91 | | | | | | | | | | | | | | | (12582), (12870), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | inconsistent by sub-proof #1194.
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | (12871) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.07/27.91 | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (12577), (12871),
% 181.07/27.91 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.91 | | | | | | | | | | | | | | #165.
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | (12872) all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | ALPHA: (12872) implies:
% 181.07/27.91 | | | | | | | | | | | | | (12873) op(e2, e2) = e2
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | REF_CLOSE: (5), (11339), (12873), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | (12874) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 181.07/27.91 | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | REF_CLOSE: (164), (165), (198), (276), (9574), (11332),
% 181.07/27.91 | | | | | | | | | | | | (12578), (12874), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | inconsistent by sub-proof #150.
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | End of split
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | (12875) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0
% 181.07/27.91 | | | | | | | | | & op(e2, e0) = e0)
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | REF_CLOSE: (164), (165), (11332), (11333), (12875),
% 181.07/27.91 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.91 | | | | | | | | | #1195.
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | End of split
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | End of split
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | Case 2:
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | (12876) all_10_2 = e3
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | REDUCE: (362), (12876) imply:
% 181.07/27.91 | | | | | | | (12877) ~ (all_52_1 = e3)
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | REDUCE: (365), (12876) imply:
% 181.07/27.91 | | | | | | | (12878) ~ (all_52_4 = e3)
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | REDUCE: (367), (12876) imply:
% 181.07/27.91 | | | | | | | (12879) ~ (all_52_6 = e3)
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | REDUCE: (371), (12876) imply:
% 181.07/27.91 | | | | | | | (12880) ~ (all_52_9 = e3)
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | REDUCE: (373), (12876) imply:
% 181.07/27.91 | | | | | | | (12881) ~ (all_52_13 = e3)
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | REDUCE: (45), (12876) imply:
% 181.07/27.91 | | | | | | | (12882) op(e2, e2) = e3
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | BETA: splitting (9566) gives:
% 181.07/27.91 | | | | | | |
% 181.07/27.91 | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | (12883) ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 &
% 181.07/27.91 | | | | | | | | $i(all_8_0)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | ALPHA: (12883) implies:
% 181.07/27.91 | | | | | | | | (12884) ~ (all_8_0 = e3)
% 181.07/27.91 | | | | | | | | (12885) op(e2, e2) = all_8_0
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_0,
% 181.07/27.91 | | | | | | | | e2, e2, simplifying with (12882), (12885) gives:
% 181.07/27.91 | | | | | | | | (12886) all_8_0 = e3
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (12884), (12886) imply:
% 181.07/27.91 | | | | | | | | (12887) $false
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | CLOSE: (12887) is inconsistent.
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | (12888) ~ (all_8_1 = e1) & op(e2, e0) = all_8_1 &
% 181.07/27.91 | | | | | | | | $i(all_8_1)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | ALPHA: (12888) implies:
% 181.07/27.91 | | | | | | | | (12889) ~ (all_8_1 = e1)
% 181.07/27.91 | | | | | | | | (12890) op(e2, e0) = all_8_1
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 181.07/27.91 | | | | | | | | all_8_1, e0, e2, simplifying with (164), (12890)
% 181.07/27.91 | | | | | | | | gives:
% 181.07/27.91 | | | | | | | | (12891) all_52_13 = all_8_1
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | COMBINE_EQS: (275), (12891) imply:
% 181.07/27.91 | | | | | | | | (12892) all_54_7 = all_8_1
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (145), (12891) imply:
% 181.07/27.91 | | | | | | | | (12893) ~ (all_52_1 = all_8_1)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (117), (12891) imply:
% 181.07/27.91 | | | | | | | | (12894) ~ (all_52_9 = all_8_1)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (113), (12891) imply:
% 181.07/27.91 | | | | | | | | (12895) ~ (all_52_12 = all_8_1)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (110), (12891) imply:
% 181.07/27.91 | | | | | | | | (12896) ~ (all_52_14 = all_8_1)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | SIMP: (12896) implies:
% 181.07/27.91 | | | | | | | | (12897) ~ (all_52_14 = all_8_1)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (12881), (12891) imply:
% 181.07/27.91 | | | | | | | | (12898) ~ (all_8_1 = e3)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | REDUCE: (9574), (12891) imply:
% 181.07/27.91 | | | | | | | | (12899) ~ (all_8_1 = e2)
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | BETA: splitting (197) gives:
% 181.07/27.91 | | | | | | | |
% 181.07/27.91 | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | (12900) all_54_7 = e3
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | REF_CLOSE: (12892), (12898), (12900) are inconsistent by
% 181.07/27.91 | | | | | | | | | sub-proof #133.
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | (12901) ~ (all_54_7 = e3)
% 181.07/27.91 | | | | | | | | | (12902) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | BETA: splitting (12902) gives:
% 181.07/27.91 | | | | | | | | |
% 181.07/27.91 | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | (12903) all_54_7 = e2
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | REF_CLOSE: (12892), (12899), (12903) are inconsistent by
% 181.07/27.91 | | | | | | | | | | sub-proof #132.
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | (12904) ~ (all_54_7 = e2)
% 181.07/27.91 | | | | | | | | | | (12905) all_54_7 = e1 | all_54_7 = e0
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | BETA: splitting (12905) gives:
% 181.07/27.91 | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | (12906) all_54_7 = e1
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REF_CLOSE: (12889), (12892), (12906) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | sub-proof #131.
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | (12907) all_54_7 = e0
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | COMBINE_EQS: (12892), (12907) imply:
% 181.07/27.91 | | | | | | | | | | | (12908) all_8_1 = e0
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | SIMP: (12908) implies:
% 181.07/27.91 | | | | | | | | | | | (12909) all_8_1 = e0
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12893), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12910) ~ (all_52_1 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12894), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12911) ~ (all_52_9 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12895), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12912) ~ (all_52_12 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12897), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12913) ~ (all_52_14 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12898), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12914) ~ (e3 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12899), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12915) ~ (e2 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12889), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12916) ~ (e1 = e0)
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | REDUCE: (12890), (12909) imply:
% 181.07/27.91 | | | | | | | | | | | (12917) op(e2, e0) = e0
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | BETA: splitting (52) gives:
% 181.07/27.91 | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | (12918) ~ (all_14_2 = e2)
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | BETA: splitting (55) gives:
% 181.07/27.91 | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | (12919) ~ (all_16_2 = e3)
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | REDUCE: (338), (12919) imply:
% 181.07/27.91 | | | | | | | | | | | | | (12920) ~ (all_14_2 = e3)
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 181.07/27.91 | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | (12921) ~ (all_18_2 = e1)
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | REDUCE: (342), (12921) imply:
% 181.07/27.91 | | | | | | | | | | | | | | (12922) ~ (all_4_2 = e1)
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 181.07/27.91 | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | (12923) ~ (all_26_2 = e0)
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | REDUCE: (318), (12923) imply:
% 181.07/27.91 | | | | | | | | | | | | | | | (12924) ~ (all_14_2 = e0)
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 181.07/27.91 | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | (12925) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.91 | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12925),
% 181.07/27.91 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.91 | | | | | | | | | | | | | | | | #285.
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | (12926) (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 181.07/27.91 | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31))
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | BETA: splitting (12926) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | (12927) all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.91 | | | | | | | | | | | | | | | | | (12927), (function-axioms) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | sub-proof #1616.
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | (12928) op(e0, e0) = all_57_31 & $i(all_57_31)
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | ALPHA: (12928) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | (12929) op(e0, e0) = all_57_31
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | (12930) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.91 | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12930),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.91 | | | | | | | | | | | | | | | | | | #285.
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | (12931) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.07/27.91 | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & $i(all_57_18))
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | BETA: splitting (12931) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | (12932) all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | (12932), (function-axioms) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | sub-proof #1616.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | (12933) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | $i(all_57_18))
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (12933) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | (12934) all_57_31 = e0 & op(e0, e0) = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (12934) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | (12935) op(e0, e0) = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (12935), (function-axioms) are
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | (12936) ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_18)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (12936) implies:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | (12937) op(e3, e0) = all_57_18
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | (12938) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12938),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | #285.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | (12939) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_21 & $i(all_57_21))
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12939) gives:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | (12940) all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | (12940), (function-axioms) are inconsistent by
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1616.
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | (12941) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21))
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12941) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | (12942) all_57_31 = e0 & op(e0, e0) = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12942) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | (12943) op(e0, e0) = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (12943), (function-axioms) are
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | (12944) ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12944) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | (12945) op(e2, e0) = all_57_21
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | (12946) (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e2) = e0)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12946),
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | #285.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | (12947) (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_24 & $i(all_57_24))
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12947) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | (12948) all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | (12948), (function-axioms) are inconsistent by
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1616.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | (12949) (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24))
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12949) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (12950) all_57_31 = e0 & op(e0, e0) = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12950) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) op(e0, e0) = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (12951), (function-axioms) are
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (12952) ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12952) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (12953) ~ (all_57_24 = e1)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (12954) op(e1, e0) = all_57_24
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12955) all_54_10 = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12920), (12955) are inconsistent by
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1621.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12956) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12956) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12957) all_54_10 = e2
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12918), (12957) are inconsistent by
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1620.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12958) all_54_10 = e1 | all_54_10 = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12958) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12959) all_54_10 = e1
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (12959) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12960) all_14_2 = e1
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12960) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12961) all_14_2 = e1
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (12961) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12962) ~ (all_52_8 = e1)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (12961) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12963) ~ (all_52_9 = e1)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (12961) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12964) ~ (all_52_14 = e1)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12965) all_54_6 = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12965) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12966) all_52_9 = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12880), (12966) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12967) $false
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12967) is inconsistent.
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12968) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12969) all_54_11 = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (12969) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12970) all_52_14 = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12970) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12971) all_52_14 = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (12971) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12972) ~ (all_52_12 = e3)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (12971) imply:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12973) op(e1, e0) = e3
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12974) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12974) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12975) all_56_9 = e1 & op(e3, e0) = e1
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12975) implies:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12976) op(e3, e0) = e1
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12977) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12977) gives:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12978) (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 = e3 & all_57_22 = e3 & ~ (all_57_0 =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_1 = e2) & ~ (all_57_3 = e0)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12978) gives:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12979) all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_2 = e1) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e2) & op(e3,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12979) implies:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12980) op(e2, e3) = e3
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12877), (12980), (function-axioms) are
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #286.
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12981) all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_3 = e0) & ~ (all_57_28 = e1) & op(e3,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12981) implies:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12982) op(e1, e3) = e3
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (193), (265), (9575), (12913),
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12964), (12982), (function-axioms) are
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #264.
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12983) (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_0 = e3) & ~ (all_57_1 = e2) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_2 = e1) & ~ (all_57_28 = e0) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 = e2 & all_57_19 = e2 & ~ (all_57_5 =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_6 = e1) & ~ (all_57_7 = e0)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_21) &